What is LCM of 496 and 1116?

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LCM of 496 and 1116 is 4464

How to find lcm of two numbers

1.   What is LCM?
2.   Steps to find LCM of 496 and 1116 By Listing Method
3.   Steps to find LCM of 496 and 1116 By Common Division Method
4.   Steps to find LCM of 496 and 1116 By Formula
5.   Examples

What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 496 and 1116.

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 496 and 1116 is 4464, where 496 and 1116 are less than 4464.
  • LCM is associative which means LCM(496, 1116) = LCM(1116, 496).
  • LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
  • The LCM of two or more prime numbers is their product.

Steps to find lcm of 496 and 1116 by Listing Method

Example: Find lcm of 496 and 1116 by Listing Method

  • Multiples of 496: 496, 992, 1488, 1984, 2480, 2976, 3472, 3968, 4464, 4960, 5456, 5952, 6448, 6944, 7440, 7936, 8432, 8928, 9424, 9920, 10416, 10912, 11408, 11904, 12400, 12896, 13392, 13888, 14384, 14880, 15376, 15872, 16368, 16864, 17360, 17856, 18352, 18848, 19344, 19840, 20336, 20832, 21328, 21824, 22320, 22816, 23312, 23808, 24304, 24800, 25296, 25792, 26288, 26784, 27280, 27776, 28272, 28768, 29264, 29760, 30256, 30752, 31248, 31744, 32240, 32736, 33232, 33728, 34224, 34720, 35216, 35712, 36208, 36704, 37200, 37696, 38192, 38688, 39184, 39680, 40176, 40672, 41168, 41664, 42160, 42656, 43152, 43648, 44144, 44640, 45136, 45632, 46128, 46624, 47120, 47616, 48112, 48608, 49104, 49600, 50096, 50592, 51088, 51584, 52080, 52576, 53072, 53568, 54064, 54560, 55056, 55552, 56048, 56544, 57040, 57536, 58032, 58528, 59024, 59520, 60016, 60512, 61008, 61504, 62000, 62496, 62992, 63488, 63984, 64480, 64976, 65472, 65968, 66464, 66960, 67456, 67952, 68448, 68944, 69440, 69936, 70432, 70928, 71424, 71920, 72416, 72912, 73408, 73904, 74400, 74896, 75392, 75888, 76384, 76880, 77376, 77872, 78368, 78864, 79360, 79856, 80352, 80848, 81344, 81840, 82336, 82832, 83328, 83824, 84320, 84816, 85312, 85808, 86304, 86800, 87296, 87792, 88288, 88784, 89280, 89776, 90272, 90768, 91264, 91760, 92256, 92752, 93248, 93744, 94240, 94736, 95232, 95728, 96224, 96720, 97216, 97712, 98208, 98704, 99200, 99696, 100192, 100688, 101184, 101680, 102176, 102672, 103168, 103664, 104160, 104656, 105152, 105648, 106144, 106640, 107136, 107632, 108128, 108624, 109120, 109616, 110112, 110608, 111104, 111600, 112096, 112592, 113088, 113584, 114080, 114576, 115072, 115568, 116064, 116560, 117056, 117552, 118048, 118544, 119040, 119536, 120032, 120528, 121024, 121520, 122016, 122512, 123008, 123504, 124000, 124496, 124992, 125488, 125984, 126480, 126976, 127472, 127968, 128464, 128960, 129456, 129952, 130448, 130944, 131440, 131936, 132432, 132928, 133424, 133920, 134416, 134912, 135408, 135904, 136400, 136896, 137392, 137888, 138384, 138880, 139376, 139872, 140368, 140864, 141360, 141856, 142352, 142848, 143344, 143840, 144336, 144832, 145328, 145824, 146320, 146816, 147312, 147808, 148304, 148800, 149296, 149792, 150288, 150784, 151280, 151776, 152272, 152768, 153264, 153760, 154256, 154752, 155248, 155744, 156240, 156736, 157232, 157728, 158224, 158720, 159216, 159712, 160208, 160704, 161200, 161696, 162192, 162688, 163184, 163680, 164176, 164672, 165168, 165664, 166160, 166656, 167152, 167648, 168144, 168640, 169136, 169632, 170128, 170624, 171120, 171616, 172112, 172608, 173104, 173600, 174096, 174592, 175088, 175584, 176080, 176576, 177072, 177568, 178064, 178560, 179056, 179552, 180048, 180544, 181040, 181536, 182032, 182528, 183024, 183520, 184016, 184512, 185008, 185504, 186000, 186496, 186992, 187488, 187984, 188480, 188976, 189472, 189968, 190464, 190960, 191456, 191952, 192448, 192944, 193440, 193936, 194432, 194928, 195424, 195920, 196416, 196912, 197408, 197904, 198400, 198896, 199392, 199888, 200384, 200880, 201376, 201872, 202368, 202864, 203360, 203856, 204352, 204848, 205344, 205840, 206336, 206832, 207328, 207824, 208320, 208816, 209312, 209808, 210304, 210800, 211296, 211792, 212288, 212784, 213280, 213776, 214272, 214768, 215264, 215760, 216256, 216752, 217248, 217744, 218240, 218736, 219232, 219728, 220224, 220720, 221216, 221712, 222208, 222704, 223200, 223696, 224192, 224688, 225184, 225680, 226176, 226672, 227168, 227664, 228160, 228656, 229152, 229648, 230144, 230640, 231136, 231632, 232128, 232624, 233120, 233616, 234112, 234608, 235104, 235600, 236096, 236592, 237088, 237584, 238080, 238576, 239072, 239568, 240064, 240560, 241056, 241552, 242048, 242544, 243040, 243536, 244032, 244528, 245024, 245520, 246016, 246512, 247008, 247504, 248000, 248496, 248992, 249488, 249984, 250480, 250976, 251472, 251968, 252464, 252960, 253456, 253952, 254448, 254944, 255440, 255936, 256432, 256928, 257424, 257920, 258416, 258912, 259408, 259904, 260400, 260896, 261392, 261888, 262384, 262880, 263376, 263872, 264368, 264864, 265360, 265856, 266352, 266848, 267344, 267840, 268336, 268832, 269328, 269824, 270320, 270816, 271312, 271808, 272304, 272800, 273296, 273792, 274288, 274784, 275280, 275776, 276272, 276768, 277264, 277760, 278256, 278752, 279248, 279744, 280240, 280736, 281232, 281728, 282224, 282720, 283216, 283712, 284208, 284704, 285200, 285696, 286192, 286688, 287184, 287680, 288176, 288672, 289168, 289664, 290160, 290656, 291152, 291648, 292144, 292640, 293136, 293632, 294128, 294624, 295120, 295616, 296112, 296608, 297104, 297600, 298096, 298592, 299088, 299584, 300080, 300576, 301072, 301568, 302064, 302560, 303056, 303552, 304048, 304544, 305040, 305536, 306032, 306528, 307024, 307520, 308016, 308512, 309008, 309504, 310000, 310496, 310992, 311488, 311984, 312480, 312976, 313472, 313968, 314464, 314960, 315456, 315952, 316448, 316944, 317440, 317936, 318432, 318928, 319424, 319920, 320416, 320912, 321408, 321904, 322400, 322896, 323392, 323888, 324384, 324880, 325376, 325872, 326368, 326864, 327360, 327856, 328352, 328848, 329344, 329840, 330336, 330832, 331328, 331824, 332320, 332816, 333312, 333808, 334304, 334800, 335296, 335792, 336288, 336784, 337280, 337776, 338272, 338768, 339264, 339760, 340256, 340752, 341248, 341744, 342240, 342736, 343232, 343728, 344224, 344720, 345216, 345712, 346208, 346704, 347200, 347696, 348192, 348688, 349184, 349680, 350176, 350672, 351168, 351664, 352160, 352656, 353152, 353648, 354144, 354640, 355136, 355632, 356128, 356624, 357120, 357616, 358112, 358608, 359104, 359600, 360096, 360592, 361088, 361584, 362080, 362576, 363072, 363568, 364064, 364560, 365056, 365552, 366048, 366544, 367040, 367536, 368032, 368528, 369024, 369520, 370016, 370512, 371008, 371504, 372000, 372496, 372992, 373488, 373984, 374480, 374976, 375472, 375968, 376464, 376960, 377456, 377952, 378448, 378944, 379440, 379936, 380432, 380928, 381424, 381920, 382416, 382912, 383408, 383904, 384400, 384896, 385392, 385888, 386384, 386880, 387376, 387872, 388368, 388864, 389360, 389856, 390352, 390848, 391344, 391840, 392336, 392832, 393328, 393824, 394320, 394816, 395312, 395808, 396304, 396800, 397296, 397792, 398288, 398784, 399280, 399776, 400272, 400768, 401264, 401760, 402256, 402752, 403248, 403744, 404240, 404736, 405232, 405728, 406224, 406720, 407216, 407712, 408208, 408704, 409200, 409696, 410192, 410688, 411184, 411680, 412176, 412672, 413168, 413664, 414160, 414656, 415152, 415648, 416144, 416640, 417136, 417632, 418128, 418624, 419120, 419616, 420112, 420608, 421104, 421600, 422096, 422592, 423088, 423584, 424080, 424576, 425072, 425568, 426064, 426560, 427056, 427552, 428048, 428544, 429040, 429536, 430032, 430528, 431024, 431520, 432016, 432512, 433008, 433504, 434000, 434496, 434992, 435488, 435984, 436480, 436976, 437472, 437968, 438464, 438960, 439456, 439952, 440448, 440944, 441440, 441936, 442432, 442928, 443424, 443920, 444416, 444912, 445408, 445904, 446400, 446896, 447392, 447888, 448384, 448880, 449376, 449872, 450368, 450864, 451360, 451856, 452352, 452848, 453344, 453840, 454336, 454832, 455328, 455824, 456320, 456816, 457312, 457808, 458304, 458800, 459296, 459792, 460288, 460784, 461280, 461776, 462272, 462768, 463264, 463760, 464256, 464752, 465248, 465744, 466240, 466736, 467232, 467728, 468224, 468720, 469216, 469712, 470208, 470704, 471200, 471696, 472192, 472688, 473184, 473680, 474176, 474672, 475168, 475664, 476160, 476656, 477152, 477648, 478144, 478640, 479136, 479632, 480128, 480624, 481120, 481616, 482112, 482608, 483104, 483600, 484096, 484592, 485088, 485584, 486080, 486576, 487072, 487568, 488064, 488560, 489056, 489552, 490048, 490544, 491040, 491536, 492032, 492528, 493024, 493520, 494016, 494512, 495008, 495504, 496000, 496496, 496992, 497488, 497984, 498480, 498976, 499472, 499968, 500464, 500960, 501456, 501952, 502448, 502944, 503440, 503936, 504432, 504928, 505424, 505920, 506416, 506912, 507408, 507904, 508400, 508896, 509392, 509888, 510384, 510880, 511376, 511872, 512368, 512864, 513360, 513856, 514352, 514848, 515344, 515840, 516336, 516832, 517328, 517824, 518320, 518816, 519312, 519808, 520304, 520800, 521296, 521792, 522288, 522784, 523280, 523776, 524272, 524768, 525264, 525760, 526256, 526752, 527248, 527744, 528240, 528736, 529232, 529728, 530224, 530720, 531216, 531712, 532208, 532704, 533200, 533696, 534192, 534688, 535184, 535680, 536176, 536672, 537168, 537664, 538160, 538656, 539152, 539648, 540144, 540640, 541136, 541632, 542128, 542624, 543120, 543616, 544112, 544608, 545104, 545600, 546096, 546592, 547088, 547584, 548080, 548576, 549072, 549568, 550064, 550560, 551056, 551552, 552048, 552544, 553040, 553536
  • Multiples of 1116: 1116, 2232, 3348, 4464, 5580, 6696, 7812, 8928, 10044, 11160, 12276, 13392, 14508, 15624, 16740, 17856, 18972, 20088, 21204, 22320, 23436, 24552, 25668, 26784, 27900, 29016, 30132, 31248, 32364, 33480, 34596, 35712, 36828, 37944, 39060, 40176, 41292, 42408, 43524, 44640, 45756, 46872, 47988, 49104, 50220, 51336, 52452, 53568, 54684, 55800, 56916, 58032, 59148, 60264, 61380, 62496, 63612, 64728, 65844, 66960, 68076, 69192, 70308, 71424, 72540, 73656, 74772, 75888, 77004, 78120, 79236, 80352, 81468, 82584, 83700, 84816, 85932, 87048, 88164, 89280, 90396, 91512, 92628, 93744, 94860, 95976, 97092, 98208, 99324, 100440, 101556, 102672, 103788, 104904, 106020, 107136, 108252, 109368, 110484, 111600, 112716, 113832, 114948, 116064, 117180, 118296, 119412, 120528, 121644, 122760, 123876, 124992, 126108, 127224, 128340, 129456, 130572, 131688, 132804, 133920, 135036, 136152, 137268, 138384, 139500, 140616, 141732, 142848, 143964, 145080, 146196, 147312, 148428, 149544, 150660, 151776, 152892, 154008, 155124, 156240, 157356, 158472, 159588, 160704, 161820, 162936, 164052, 165168, 166284, 167400, 168516, 169632, 170748, 171864, 172980, 174096, 175212, 176328, 177444, 178560, 179676, 180792, 181908, 183024, 184140, 185256, 186372, 187488, 188604, 189720, 190836, 191952, 193068, 194184, 195300, 196416, 197532, 198648, 199764, 200880, 201996, 203112, 204228, 205344, 206460, 207576, 208692, 209808, 210924, 212040, 213156, 214272, 215388, 216504, 217620, 218736, 219852, 220968, 222084, 223200, 224316, 225432, 226548, 227664, 228780, 229896, 231012, 232128, 233244, 234360, 235476, 236592, 237708, 238824, 239940, 241056, 242172, 243288, 244404, 245520, 246636, 247752, 248868, 249984, 251100, 252216, 253332, 254448, 255564, 256680, 257796, 258912, 260028, 261144, 262260, 263376, 264492, 265608, 266724, 267840, 268956, 270072, 271188, 272304, 273420, 274536, 275652, 276768, 277884, 279000, 280116, 281232, 282348, 283464, 284580, 285696, 286812, 287928, 289044, 290160, 291276, 292392, 293508, 294624, 295740, 296856, 297972, 299088, 300204, 301320, 302436, 303552, 304668, 305784, 306900, 308016, 309132, 310248, 311364, 312480, 313596, 314712, 315828, 316944, 318060, 319176, 320292, 321408, 322524, 323640, 324756, 325872, 326988, 328104, 329220, 330336, 331452, 332568, 333684, 334800, 335916, 337032, 338148, 339264, 340380, 341496, 342612, 343728, 344844, 345960, 347076, 348192, 349308, 350424, 351540, 352656, 353772, 354888, 356004, 357120, 358236, 359352, 360468, 361584, 362700, 363816, 364932, 366048, 367164, 368280, 369396, 370512, 371628, 372744, 373860, 374976, 376092, 377208, 378324, 379440, 380556, 381672, 382788, 383904, 385020, 386136, 387252, 388368, 389484, 390600, 391716, 392832, 393948, 395064, 396180, 397296, 398412, 399528, 400644, 401760, 402876, 403992, 405108, 406224, 407340, 408456, 409572, 410688, 411804, 412920, 414036, 415152, 416268, 417384, 418500, 419616, 420732, 421848, 422964, 424080, 425196, 426312, 427428, 428544, 429660, 430776, 431892, 433008, 434124, 435240, 436356, 437472, 438588, 439704, 440820, 441936, 443052, 444168, 445284, 446400, 447516, 448632, 449748, 450864, 451980, 453096, 454212, 455328, 456444, 457560, 458676, 459792, 460908, 462024, 463140, 464256, 465372, 466488, 467604, 468720, 469836, 470952, 472068, 473184, 474300, 475416, 476532, 477648, 478764, 479880, 480996, 482112, 483228, 484344, 485460, 486576, 487692, 488808, 489924, 491040, 492156, 493272, 494388, 495504, 496620, 497736, 498852, 499968, 501084, 502200, 503316, 504432, 505548, 506664, 507780, 508896, 510012, 511128, 512244, 513360, 514476, 515592, 516708, 517824, 518940, 520056, 521172, 522288, 523404, 524520, 525636, 526752, 527868, 528984, 530100, 531216, 532332, 533448, 534564, 535680, 536796, 537912, 539028, 540144, 541260, 542376, 543492, 544608, 545724, 546840, 547956, 549072, 550188, 551304, 552420, 553536

Hence, LCM of 496 and 1116 is 4464.

Steps to find LCM of 496 and 1116 by Common Division Method

Example: Find lcm of 496 and 1116 by Common Division Method

2 496 1116
2 248 558
2 124 279
2 62 279
3 31 279
3 31 93
31 31 31
1 1

Hence, LCM of 496 and 1116 is 2 x 2 x 2 x 2 x 3 x 3 x 31 = 4464.

Steps to find lcm of 496 and 1116 by Formula

Example: Find lcm of 496 and 1116 by Formula

  • GCF of 496 and 1116 = 124
  • LCM of 496 and 1116 = (496 x 1116) / 124
  • => 553536 / 124

Hence, LCM of 496 and 1116 is 4464.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 496 and 1116 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 496 and 1116 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 496 and 1116.
So, LCM of 496 and 1116 is 4464.

A shopkeeper sells candies in packet of 496 and chocolates in packet of 1116. 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 496 and 1116.
So, LCM of 496 and 1116 is 4464.

Both the cricket team and the rugby team had games, today. The cricket team plays every 496 days and the basketball team plays every 1116 days. When will both teams have games on the same day again?

Given that the cricket team plays every 496 days and the basketball team plays every 1116 days, so for finding the next time when both teams will play again we need to find the LCM of 496 and 1116.
So, LCM of 496 and 1116 is 4464.

Sammy's company prints 496 textbooks at a time. Daniel's company prints textbooks in sets of 1116 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 496 and 1116.
So, LCM of 496 and 1116 is 4464.

Ariel exercises every 496 days and Rubel every 1116 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 496 and 1116 is 4464.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 496 and 1116 is GCF(496, 1116) * LCM(496, 1116) = (496 x 1116) / GCF(496, 1116) = 4464.

Find the least number which is exactly divisible by 496 and 1116.

Least number which is exactly divisible by 496 and 1116 is 4464.

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