What is LCM of 1750 and 400?


Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 1750 and 400, is defined as the smallest positive integer that is divisible by both. It is written as LCM(1750, 400).

Properties of LCM

  • LCM follows associative property, that means LCM(1750, 400) = LCM(400, 1750).
  • LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
  • LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 1750 and 400 is 14000, where 1750 and 400 are less than 14000.
  • The LCM of two or more prime numbers is their product.

Steps to find lcm of 1750 and 400 by Listing Method

Example: Find lcm of 1750 and 400 by Listing Method

  • Multiples of 1750: 1750, 3500, 5250, 7000, 8750, 10500, 12250, 14000, 15750, 17500, 19250, 21000, 22750, 24500, 26250, 28000, 29750, 31500, 33250, 35000, 36750, 38500, 40250, 42000, 43750, 45500, 47250, 49000, 50750, 52500, 54250, 56000, 57750, 59500, 61250, 63000, 64750, 66500, 68250, 70000, 71750, 73500, 75250, 77000, 78750, 80500, 82250, 84000, 85750, 87500, 89250, 91000, 92750, 94500, 96250, 98000, 99750, 101500, 103250, 105000, 106750, 108500, 110250, 112000, 113750, 115500, 117250, 119000, 120750, 122500, 124250, 126000, 127750, 129500, 131250, 133000, 134750, 136500, 138250, 140000, 141750, 143500, 145250, 147000, 148750, 150500, 152250, 154000, 155750, 157500, 159250, 161000, 162750, 164500, 166250, 168000, 169750, 171500, 173250, 175000, 176750, 178500, 180250, 182000, 183750, 185500, 187250, 189000, 190750, 192500, 194250, 196000, 197750, 199500, 201250, 203000, 204750, 206500, 208250, 210000, 211750, 213500, 215250, 217000, 218750, 220500, 222250, 224000, 225750, 227500, 229250, 231000, 232750, 234500, 236250, 238000, 239750, 241500, 243250, 245000, 246750, 248500, 250250, 252000, 253750, 255500, 257250, 259000, 260750, 262500, 264250, 266000, 267750, 269500, 271250, 273000, 274750, 276500, 278250, 280000, 281750, 283500, 285250, 287000, 288750, 290500, 292250, 294000, 295750, 297500, 299250, 301000, 302750, 304500, 306250, 308000, 309750, 311500, 313250, 315000, 316750, 318500, 320250, 322000, 323750, 325500, 327250, 329000, 330750, 332500, 334250, 336000, 337750, 339500, 341250, 343000, 344750, 346500, 348250, 350000, 351750, 353500, 355250, 357000, 358750, 360500, 362250, 364000, 365750, 367500, 369250, 371000, 372750, 374500, 376250, 378000, 379750, 381500, 383250, 385000, 386750, 388500, 390250, 392000, 393750, 395500, 397250, 399000, 400750, 402500, 404250, 406000, 407750, 409500, 411250, 413000, 414750, 416500, 418250, 420000, 421750, 423500, 425250, 427000, 428750, 430500, 432250, 434000, 435750, 437500, 439250, 441000, 442750, 444500, 446250, 448000, 449750, 451500, 453250, 455000, 456750, 458500, 460250, 462000, 463750, 465500, 467250, 469000, 470750, 472500, 474250, 476000, 477750, 479500, 481250, 483000, 484750, 486500, 488250, 490000, 491750, 493500, 495250, 497000, 498750, 500500, 502250, 504000, 505750, 507500, 509250, 511000, 512750, 514500, 516250, 518000, 519750, 521500, 523250, 525000, 526750, 528500, 530250, 532000, 533750, 535500, 537250, 539000, 540750, 542500, 544250, 546000, 547750, 549500, 551250, 553000, 554750, 556500, 558250, 560000, 561750, 563500, 565250, 567000, 568750, 570500, 572250, 574000, 575750, 577500, 579250, 581000, 582750, 584500, 586250, 588000, 589750, 591500, 593250, 595000, 596750, 598500, 600250, 602000, 603750, 605500, 607250, 609000, 610750, 612500, 614250, 616000, 617750, 619500, 621250, 623000, 624750, 626500, 628250, 630000, 631750, 633500, 635250, 637000, 638750, 640500, 642250, 644000, 645750, 647500, 649250, 651000, 652750, 654500, 656250, 658000, 659750, 661500, 663250, 665000, 666750, 668500, 670250, 672000, 673750, 675500, 677250, 679000, 680750, 682500, 684250, 686000, 687750, 689500, 691250, 693000, 694750, 696500, 698250, 700000
  • Multiples of 400: 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600, 4000, 4400, 4800, 5200, 5600, 6000, 6400, 6800, 7200, 7600, 8000, 8400, 8800, 9200, 9600, 10000, 10400, 10800, 11200, 11600, 12000, 12400, 12800, 13200, 13600, 14000, 14400, 14800, 15200, 15600, 16000, 16400, 16800, 17200, 17600, 18000, 18400, 18800, 19200, 19600, 20000, 20400, 20800, 21200, 21600, 22000, 22400, 22800, 23200, 23600, 24000, 24400, 24800, 25200, 25600, 26000, 26400, 26800, 27200, 27600, 28000, 28400, 28800, 29200, 29600, 30000, 30400, 30800, 31200, 31600, 32000, 32400, 32800, 33200, 33600, 34000, 34400, 34800, 35200, 35600, 36000, 36400, 36800, 37200, 37600, 38000, 38400, 38800, 39200, 39600, 40000, 40400, 40800, 41200, 41600, 42000, 42400, 42800, 43200, 43600, 44000, 44400, 44800, 45200, 45600, 46000, 46400, 46800, 47200, 47600, 48000, 48400, 48800, 49200, 49600, 50000, 50400, 50800, 51200, 51600, 52000, 52400, 52800, 53200, 53600, 54000, 54400, 54800, 55200, 55600, 56000, 56400, 56800, 57200, 57600, 58000, 58400, 58800, 59200, 59600, 60000, 60400, 60800, 61200, 61600, 62000, 62400, 62800, 63200, 63600, 64000, 64400, 64800, 65200, 65600, 66000, 66400, 66800, 67200, 67600, 68000, 68400, 68800, 69200, 69600, 70000, 70400, 70800, 71200, 71600, 72000, 72400, 72800, 73200, 73600, 74000, 74400, 74800, 75200, 75600, 76000, 76400, 76800, 77200, 77600, 78000, 78400, 78800, 79200, 79600, 80000, 80400, 80800, 81200, 81600, 82000, 82400, 82800, 83200, 83600, 84000, 84400, 84800, 85200, 85600, 86000, 86400, 86800, 87200, 87600, 88000, 88400, 88800, 89200, 89600, 90000, 90400, 90800, 91200, 91600, 92000, 92400, 92800, 93200, 93600, 94000, 94400, 94800, 95200, 95600, 96000, 96400, 96800, 97200, 97600, 98000, 98400, 98800, 99200, 99600, 100000, 100400, 100800, 101200, 101600, 102000, 102400, 102800, 103200, 103600, 104000, 104400, 104800, 105200, 105600, 106000, 106400, 106800, 107200, 107600, 108000, 108400, 108800, 109200, 109600, 110000, 110400, 110800, 111200, 111600, 112000, 112400, 112800, 113200, 113600, 114000, 114400, 114800, 115200, 115600, 116000, 116400, 116800, 117200, 117600, 118000, 118400, 118800, 119200, 119600, 120000, 120400, 120800, 121200, 121600, 122000, 122400, 122800, 123200, 123600, 124000, 124400, 124800, 125200, 125600, 126000, 126400, 126800, 127200, 127600, 128000, 128400, 128800, 129200, 129600, 130000, 130400, 130800, 131200, 131600, 132000, 132400, 132800, 133200, 133600, 134000, 134400, 134800, 135200, 135600, 136000, 136400, 136800, 137200, 137600, 138000, 138400, 138800, 139200, 139600, 140000, 140400, 140800, 141200, 141600, 142000, 142400, 142800, 143200, 143600, 144000, 144400, 144800, 145200, 145600, 146000, 146400, 146800, 147200, 147600, 148000, 148400, 148800, 149200, 149600, 150000, 150400, 150800, 151200, 151600, 152000, 152400, 152800, 153200, 153600, 154000, 154400, 154800, 155200, 155600, 156000, 156400, 156800, 157200, 157600, 158000, 158400, 158800, 159200, 159600, 160000, 160400, 160800, 161200, 161600, 162000, 162400, 162800, 163200, 163600, 164000, 164400, 164800, 165200, 165600, 166000, 166400, 166800, 167200, 167600, 168000, 168400, 168800, 169200, 169600, 170000, 170400, 170800, 171200, 171600, 172000, 172400, 172800, 173200, 173600, 174000, 174400, 174800, 175200, 175600, 176000, 176400, 176800, 177200, 177600, 178000, 178400, 178800, 179200, 179600, 180000, 180400, 180800, 181200, 181600, 182000, 182400, 182800, 183200, 183600, 184000, 184400, 184800, 185200, 185600, 186000, 186400, 186800, 187200, 187600, 188000, 188400, 188800, 189200, 189600, 190000, 190400, 190800, 191200, 191600, 192000, 192400, 192800, 193200, 193600, 194000, 194400, 194800, 195200, 195600, 196000, 196400, 196800, 197200, 197600, 198000, 198400, 198800, 199200, 199600, 200000, 200400, 200800, 201200, 201600, 202000, 202400, 202800, 203200, 203600, 204000, 204400, 204800, 205200, 205600, 206000, 206400, 206800, 207200, 207600, 208000, 208400, 208800, 209200, 209600, 210000, 210400, 210800, 211200, 211600, 212000, 212400, 212800, 213200, 213600, 214000, 214400, 214800, 215200, 215600, 216000, 216400, 216800, 217200, 217600, 218000, 218400, 218800, 219200, 219600, 220000, 220400, 220800, 221200, 221600, 222000, 222400, 222800, 223200, 223600, 224000, 224400, 224800, 225200, 225600, 226000, 226400, 226800, 227200, 227600, 228000, 228400, 228800, 229200, 229600, 230000, 230400, 230800, 231200, 231600, 232000, 232400, 232800, 233200, 233600, 234000, 234400, 234800, 235200, 235600, 236000, 236400, 236800, 237200, 237600, 238000, 238400, 238800, 239200, 239600, 240000, 240400, 240800, 241200, 241600, 242000, 242400, 242800, 243200, 243600, 244000, 244400, 244800, 245200, 245600, 246000, 246400, 246800, 247200, 247600, 248000, 248400, 248800, 249200, 249600, 250000, 250400, 250800, 251200, 251600, 252000, 252400, 252800, 253200, 253600, 254000, 254400, 254800, 255200, 255600, 256000, 256400, 256800, 257200, 257600, 258000, 258400, 258800, 259200, 259600, 260000, 260400, 260800, 261200, 261600, 262000, 262400, 262800, 263200, 263600, 264000, 264400, 264800, 265200, 265600, 266000, 266400, 266800, 267200, 267600, 268000, 268400, 268800, 269200, 269600, 270000, 270400, 270800, 271200, 271600, 272000, 272400, 272800, 273200, 273600, 274000, 274400, 274800, 275200, 275600, 276000, 276400, 276800, 277200, 277600, 278000, 278400, 278800, 279200, 279600, 280000, 280400, 280800, 281200, 281600, 282000, 282400, 282800, 283200, 283600, 284000, 284400, 284800, 285200, 285600, 286000, 286400, 286800, 287200, 287600, 288000, 288400, 288800, 289200, 289600, 290000, 290400, 290800, 291200, 291600, 292000, 292400, 292800, 293200, 293600, 294000, 294400, 294800, 295200, 295600, 296000, 296400, 296800, 297200, 297600, 298000, 298400, 298800, 299200, 299600, 300000, 300400, 300800, 301200, 301600, 302000, 302400, 302800, 303200, 303600, 304000, 304400, 304800, 305200, 305600, 306000, 306400, 306800, 307200, 307600, 308000, 308400, 308800, 309200, 309600, 310000, 310400, 310800, 311200, 311600, 312000, 312400, 312800, 313200, 313600, 314000, 314400, 314800, 315200, 315600, 316000, 316400, 316800, 317200, 317600, 318000, 318400, 318800, 319200, 319600, 320000, 320400, 320800, 321200, 321600, 322000, 322400, 322800, 323200, 323600, 324000, 324400, 324800, 325200, 325600, 326000, 326400, 326800, 327200, 327600, 328000, 328400, 328800, 329200, 329600, 330000, 330400, 330800, 331200, 331600, 332000, 332400, 332800, 333200, 333600, 334000, 334400, 334800, 335200, 335600, 336000, 336400, 336800, 337200, 337600, 338000, 338400, 338800, 339200, 339600, 340000, 340400, 340800, 341200, 341600, 342000, 342400, 342800, 343200, 343600, 344000, 344400, 344800, 345200, 345600, 346000, 346400, 346800, 347200, 347600, 348000, 348400, 348800, 349200, 349600, 350000, 350400, 350800, 351200, 351600, 352000, 352400, 352800, 353200, 353600, 354000, 354400, 354800, 355200, 355600, 356000, 356400, 356800, 357200, 357600, 358000, 358400, 358800, 359200, 359600, 360000, 360400, 360800, 361200, 361600, 362000, 362400, 362800, 363200, 363600, 364000, 364400, 364800, 365200, 365600, 366000, 366400, 366800, 367200, 367600, 368000, 368400, 368800, 369200, 369600, 370000, 370400, 370800, 371200, 371600, 372000, 372400, 372800, 373200, 373600, 374000, 374400, 374800, 375200, 375600, 376000, 376400, 376800, 377200, 377600, 378000, 378400, 378800, 379200, 379600, 380000, 380400, 380800, 381200, 381600, 382000, 382400, 382800, 383200, 383600, 384000, 384400, 384800, 385200, 385600, 386000, 386400, 386800, 387200, 387600, 388000, 388400, 388800, 389200, 389600, 390000, 390400, 390800, 391200, 391600, 392000, 392400, 392800, 393200, 393600, 394000, 394400, 394800, 395200, 395600, 396000, 396400, 396800, 397200, 397600, 398000, 398400, 398800, 399200, 399600, 400000, 400400, 400800, 401200, 401600, 402000, 402400, 402800, 403200, 403600, 404000, 404400, 404800, 405200, 405600, 406000, 406400, 406800, 407200, 407600, 408000, 408400, 408800, 409200, 409600, 410000, 410400, 410800, 411200, 411600, 412000, 412400, 412800, 413200, 413600, 414000, 414400, 414800, 415200, 415600, 416000, 416400, 416800, 417200, 417600, 418000, 418400, 418800, 419200, 419600, 420000, 420400, 420800, 421200, 421600, 422000, 422400, 422800, 423200, 423600, 424000, 424400, 424800, 425200, 425600, 426000, 426400, 426800, 427200, 427600, 428000, 428400, 428800, 429200, 429600, 430000, 430400, 430800, 431200, 431600, 432000, 432400, 432800, 433200, 433600, 434000, 434400, 434800, 435200, 435600, 436000, 436400, 436800, 437200, 437600, 438000, 438400, 438800, 439200, 439600, 440000, 440400, 440800, 441200, 441600, 442000, 442400, 442800, 443200, 443600, 444000, 444400, 444800, 445200, 445600, 446000, 446400, 446800, 447200, 447600, 448000, 448400, 448800, 449200, 449600, 450000, 450400, 450800, 451200, 451600, 452000, 452400, 452800, 453200, 453600, 454000, 454400, 454800, 455200, 455600, 456000, 456400, 456800, 457200, 457600, 458000, 458400, 458800, 459200, 459600, 460000, 460400, 460800, 461200, 461600, 462000, 462400, 462800, 463200, 463600, 464000, 464400, 464800, 465200, 465600, 466000, 466400, 466800, 467200, 467600, 468000, 468400, 468800, 469200, 469600, 470000, 470400, 470800, 471200, 471600, 472000, 472400, 472800, 473200, 473600, 474000, 474400, 474800, 475200, 475600, 476000, 476400, 476800, 477200, 477600, 478000, 478400, 478800, 479200, 479600, 480000, 480400, 480800, 481200, 481600, 482000, 482400, 482800, 483200, 483600, 484000, 484400, 484800, 485200, 485600, 486000, 486400, 486800, 487200, 487600, 488000, 488400, 488800, 489200, 489600, 490000, 490400, 490800, 491200, 491600, 492000, 492400, 492800, 493200, 493600, 494000, 494400, 494800, 495200, 495600, 496000, 496400, 496800, 497200, 497600, 498000, 498400, 498800, 499200, 499600, 500000, 500400, 500800, 501200, 501600, 502000, 502400, 502800, 503200, 503600, 504000, 504400, 504800, 505200, 505600, 506000, 506400, 506800, 507200, 507600, 508000, 508400, 508800, 509200, 509600, 510000, 510400, 510800, 511200, 511600, 512000, 512400, 512800, 513200, 513600, 514000, 514400, 514800, 515200, 515600, 516000, 516400, 516800, 517200, 517600, 518000, 518400, 518800, 519200, 519600, 520000, 520400, 520800, 521200, 521600, 522000, 522400, 522800, 523200, 523600, 524000, 524400, 524800, 525200, 525600, 526000, 526400, 526800, 527200, 527600, 528000, 528400, 528800, 529200, 529600, 530000, 530400, 530800, 531200, 531600, 532000, 532400, 532800, 533200, 533600, 534000, 534400, 534800, 535200, 535600, 536000, 536400, 536800, 537200, 537600, 538000, 538400, 538800, 539200, 539600, 540000, 540400, 540800, 541200, 541600, 542000, 542400, 542800, 543200, 543600, 544000, 544400, 544800, 545200, 545600, 546000, 546400, 546800, 547200, 547600, 548000, 548400, 548800, 549200, 549600, 550000, 550400, 550800, 551200, 551600, 552000, 552400, 552800, 553200, 553600, 554000, 554400, 554800, 555200, 555600, 556000, 556400, 556800, 557200, 557600, 558000, 558400, 558800, 559200, 559600, 560000, 560400, 560800, 561200, 561600, 562000, 562400, 562800, 563200, 563600, 564000, 564400, 564800, 565200, 565600, 566000, 566400, 566800, 567200, 567600, 568000, 568400, 568800, 569200, 569600, 570000, 570400, 570800, 571200, 571600, 572000, 572400, 572800, 573200, 573600, 574000, 574400, 574800, 575200, 575600, 576000, 576400, 576800, 577200, 577600, 578000, 578400, 578800, 579200, 579600, 580000, 580400, 580800, 581200, 581600, 582000, 582400, 582800, 583200, 583600, 584000, 584400, 584800, 585200, 585600, 586000, 586400, 586800, 587200, 587600, 588000, 588400, 588800, 589200, 589600, 590000, 590400, 590800, 591200, 591600, 592000, 592400, 592800, 593200, 593600, 594000, 594400, 594800, 595200, 595600, 596000, 596400, 596800, 597200, 597600, 598000, 598400, 598800, 599200, 599600, 600000, 600400, 600800, 601200, 601600, 602000, 602400, 602800, 603200, 603600, 604000, 604400, 604800, 605200, 605600, 606000, 606400, 606800, 607200, 607600, 608000, 608400, 608800, 609200, 609600, 610000, 610400, 610800, 611200, 611600, 612000, 612400, 612800, 613200, 613600, 614000, 614400, 614800, 615200, 615600, 616000, 616400, 616800, 617200, 617600, 618000, 618400, 618800, 619200, 619600, 620000, 620400, 620800, 621200, 621600, 622000, 622400, 622800, 623200, 623600, 624000, 624400, 624800, 625200, 625600, 626000, 626400, 626800, 627200, 627600, 628000, 628400, 628800, 629200, 629600, 630000, 630400, 630800, 631200, 631600, 632000, 632400, 632800, 633200, 633600, 634000, 634400, 634800, 635200, 635600, 636000, 636400, 636800, 637200, 637600, 638000, 638400, 638800, 639200, 639600, 640000, 640400, 640800, 641200, 641600, 642000, 642400, 642800, 643200, 643600, 644000, 644400, 644800, 645200, 645600, 646000, 646400, 646800, 647200, 647600, 648000, 648400, 648800, 649200, 649600, 650000, 650400, 650800, 651200, 651600, 652000, 652400, 652800, 653200, 653600, 654000, 654400, 654800, 655200, 655600, 656000, 656400, 656800, 657200, 657600, 658000, 658400, 658800, 659200, 659600, 660000, 660400, 660800, 661200, 661600, 662000, 662400, 662800, 663200, 663600, 664000, 664400, 664800, 665200, 665600, 666000, 666400, 666800, 667200, 667600, 668000, 668400, 668800, 669200, 669600, 670000, 670400, 670800, 671200, 671600, 672000, 672400, 672800, 673200, 673600, 674000, 674400, 674800, 675200, 675600, 676000, 676400, 676800, 677200, 677600, 678000, 678400, 678800, 679200, 679600, 680000, 680400, 680800, 681200, 681600, 682000, 682400, 682800, 683200, 683600, 684000, 684400, 684800, 685200, 685600, 686000, 686400, 686800, 687200, 687600, 688000, 688400, 688800, 689200, 689600, 690000, 690400, 690800, 691200, 691600, 692000, 692400, 692800, 693200, 693600, 694000, 694400, 694800, 695200, 695600, 696000, 696400, 696800, 697200, 697600, 698000, 698400, 698800, 699200, 699600, 700000

Hence, LCM of 1750 and 400 is 14000.

Steps to find LCM of 1750 and 400 by Common Division Method

Example: Find lcm of 1750 and 400 by Common Division Method

2 1750 400
2 875 200
2 875 100
2 875 50
5 875 25
5 175 5
5 35 1
7 7 1
1 1

Hence, LCM of 1750 and 400 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 = 14000.

Steps to find lcm of 1750 and 400 by Formula

Example: Find lcm of 1750 and 400 by Formula

  • GCF of 1750 and 400 = 50
  • LCM of 1750 and 400 = (1750 x 400) / 50
  • => 700000 / 50

Hence, LCM of 1750 and 400 is 14000.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 1750 and 400 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 1750 and 400 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

A shopkeeper sells candies in packet of 1750 and chocolates in packet of 400. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

Both the cricket team and the rugby team had games, today. The cricket team plays every 1750 days and the basketball team plays every 400 days. When will both teams have games on the same day again?

Given that the cricket team plays every 1750 days and the basketball team plays every 400 days, so for finding the next time when both teams will play again we need to find the LCM of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

Freddy saves 1750 dollars every day while Nikki saves 400 dollars every day. What is the least number of days it will take each person to save the same amount of money?

To find the least number of days that would be taken to be able to save the same amount of dollars we need to find the LCM of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

Boxes that are 1750 inches tall are being pilled next to boxes that are 400 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

Sammy's company prints 1750 textbooks at a time. Daniel's company prints textbooks in sets of 400 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 1750 and 400.
So, LCM of 1750 and 400 is 14000.

Ariel exercises every 1750 days and Rubel every 400 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 1750 and 400 is 14000.