What is LCM of 351 and 1521?

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LCM of 351 and 1521 is 4563

How to find lcm of two numbers

1.   What is LCM?
2.   Steps to find LCM of 351 and 1521 By Listing Method
3.   Steps to find LCM of 351 and 1521 By Common Division Method
4.   Steps to find LCM of 351 and 1521 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 351 and 1521.

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 351 and 1521 is 4563, where 351 and 1521 are less than 4563.
  • LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
  • The LCM of two or more prime numbers is exactly equal to their product.
  • LCM is associative which means LCM(351, 1521) = LCM(1521, 351).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 351 and 1521 by Listing Method

Example: Find lcm of 351 and 1521 by Listing Method

  • Multiples of 351: 351, 702, 1053, 1404, 1755, 2106, 2457, 2808, 3159, 3510, 3861, 4212, 4563, 4914, 5265, 5616, 5967, 6318, 6669, 7020, 7371, 7722, 8073, 8424, 8775, 9126, 9477, 9828, 10179, 10530, 10881, 11232, 11583, 11934, 12285, 12636, 12987, 13338, 13689, 14040, 14391, 14742, 15093, 15444, 15795, 16146, 16497, 16848, 17199, 17550, 17901, 18252, 18603, 18954, 19305, 19656, 20007, 20358, 20709, 21060, 21411, 21762, 22113, 22464, 22815, 23166, 23517, 23868, 24219, 24570, 24921, 25272, 25623, 25974, 26325, 26676, 27027, 27378, 27729, 28080, 28431, 28782, 29133, 29484, 29835, 30186, 30537, 30888, 31239, 31590, 31941, 32292, 32643, 32994, 33345, 33696, 34047, 34398, 34749, 35100, 35451, 35802, 36153, 36504, 36855, 37206, 37557, 37908, 38259, 38610, 38961, 39312, 39663, 40014, 40365, 40716, 41067, 41418, 41769, 42120, 42471, 42822, 43173, 43524, 43875, 44226, 44577, 44928, 45279, 45630, 45981, 46332, 46683, 47034, 47385, 47736, 48087, 48438, 48789, 49140, 49491, 49842, 50193, 50544, 50895, 51246, 51597, 51948, 52299, 52650, 53001, 53352, 53703, 54054, 54405, 54756, 55107, 55458, 55809, 56160, 56511, 56862, 57213, 57564, 57915, 58266, 58617, 58968, 59319, 59670, 60021, 60372, 60723, 61074, 61425, 61776, 62127, 62478, 62829, 63180, 63531, 63882, 64233, 64584, 64935, 65286, 65637, 65988, 66339, 66690, 67041, 67392, 67743, 68094, 68445, 68796, 69147, 69498, 69849, 70200, 70551, 70902, 71253, 71604, 71955, 72306, 72657, 73008, 73359, 73710, 74061, 74412, 74763, 75114, 75465, 75816, 76167, 76518, 76869, 77220, 77571, 77922, 78273, 78624, 78975, 79326, 79677, 80028, 80379, 80730, 81081, 81432, 81783, 82134, 82485, 82836, 83187, 83538, 83889, 84240, 84591, 84942, 85293, 85644, 85995, 86346, 86697, 87048, 87399, 87750, 88101, 88452, 88803, 89154, 89505, 89856, 90207, 90558, 90909, 91260, 91611, 91962, 92313, 92664, 93015, 93366, 93717, 94068, 94419, 94770, 95121, 95472, 95823, 96174, 96525, 96876, 97227, 97578, 97929, 98280, 98631, 98982, 99333, 99684, 100035, 100386, 100737, 101088, 101439, 101790, 102141, 102492, 102843, 103194, 103545, 103896, 104247, 104598, 104949, 105300, 105651, 106002, 106353, 106704, 107055, 107406, 107757, 108108, 108459, 108810, 109161, 109512, 109863, 110214, 110565, 110916, 111267, 111618, 111969, 112320, 112671, 113022, 113373, 113724, 114075, 114426, 114777, 115128, 115479, 115830, 116181, 116532, 116883, 117234, 117585, 117936, 118287, 118638, 118989, 119340, 119691, 120042, 120393, 120744, 121095, 121446, 121797, 122148, 122499, 122850, 123201, 123552, 123903, 124254, 124605, 124956, 125307, 125658, 126009, 126360, 126711, 127062, 127413, 127764, 128115, 128466, 128817, 129168, 129519, 129870, 130221, 130572, 130923, 131274, 131625, 131976, 132327, 132678, 133029, 133380, 133731, 134082, 134433, 134784, 135135, 135486, 135837, 136188, 136539, 136890, 137241, 137592, 137943, 138294, 138645, 138996, 139347, 139698, 140049, 140400, 140751, 141102, 141453, 141804, 142155, 142506, 142857, 143208, 143559, 143910, 144261, 144612, 144963, 145314, 145665, 146016, 146367, 146718, 147069, 147420, 147771, 148122, 148473, 148824, 149175, 149526, 149877, 150228, 150579, 150930, 151281, 151632, 151983, 152334, 152685, 153036, 153387, 153738, 154089, 154440, 154791, 155142, 155493, 155844, 156195, 156546, 156897, 157248, 157599, 157950, 158301, 158652, 159003, 159354, 159705, 160056, 160407, 160758, 161109, 161460, 161811, 162162, 162513, 162864, 163215, 163566, 163917, 164268, 164619, 164970, 165321, 165672, 166023, 166374, 166725, 167076, 167427, 167778, 168129, 168480, 168831, 169182, 169533, 169884, 170235, 170586, 170937, 171288, 171639, 171990, 172341, 172692, 173043, 173394, 173745, 174096, 174447, 174798, 175149, 175500, 175851, 176202, 176553, 176904, 177255, 177606, 177957, 178308, 178659, 179010, 179361, 179712, 180063, 180414, 180765, 181116, 181467, 181818, 182169, 182520, 182871, 183222, 183573, 183924, 184275, 184626, 184977, 185328, 185679, 186030, 186381, 186732, 187083, 187434, 187785, 188136, 188487, 188838, 189189, 189540, 189891, 190242, 190593, 190944, 191295, 191646, 191997, 192348, 192699, 193050, 193401, 193752, 194103, 194454, 194805, 195156, 195507, 195858, 196209, 196560, 196911, 197262, 197613, 197964, 198315, 198666, 199017, 199368, 199719, 200070, 200421, 200772, 201123, 201474, 201825, 202176, 202527, 202878, 203229, 203580, 203931, 204282, 204633, 204984, 205335, 205686, 206037, 206388, 206739, 207090, 207441, 207792, 208143, 208494, 208845, 209196, 209547, 209898, 210249, 210600, 210951, 211302, 211653, 212004, 212355, 212706, 213057, 213408, 213759, 214110, 214461, 214812, 215163, 215514, 215865, 216216, 216567, 216918, 217269, 217620, 217971, 218322, 218673, 219024, 219375, 219726, 220077, 220428, 220779, 221130, 221481, 221832, 222183, 222534, 222885, 223236, 223587, 223938, 224289, 224640, 224991, 225342, 225693, 226044, 226395, 226746, 227097, 227448, 227799, 228150, 228501, 228852, 229203, 229554, 229905, 230256, 230607, 230958, 231309, 231660, 232011, 232362, 232713, 233064, 233415, 233766, 234117, 234468, 234819, 235170, 235521, 235872, 236223, 236574, 236925, 237276, 237627, 237978, 238329, 238680, 239031, 239382, 239733, 240084, 240435, 240786, 241137, 241488, 241839, 242190, 242541, 242892, 243243, 243594, 243945, 244296, 244647, 244998, 245349, 245700, 246051, 246402, 246753, 247104, 247455, 247806, 248157, 248508, 248859, 249210, 249561, 249912, 250263, 250614, 250965, 251316, 251667, 252018, 252369, 252720, 253071, 253422, 253773, 254124, 254475, 254826, 255177, 255528, 255879, 256230, 256581, 256932, 257283, 257634, 257985, 258336, 258687, 259038, 259389, 259740, 260091, 260442, 260793, 261144, 261495, 261846, 262197, 262548, 262899, 263250, 263601, 263952, 264303, 264654, 265005, 265356, 265707, 266058, 266409, 266760, 267111, 267462, 267813, 268164, 268515, 268866, 269217, 269568, 269919, 270270, 270621, 270972, 271323, 271674, 272025, 272376, 272727, 273078, 273429, 273780, 274131, 274482, 274833, 275184, 275535, 275886, 276237, 276588, 276939, 277290, 277641, 277992, 278343, 278694, 279045, 279396, 279747, 280098, 280449, 280800, 281151, 281502, 281853, 282204, 282555, 282906, 283257, 283608, 283959, 284310, 284661, 285012, 285363, 285714, 286065, 286416, 286767, 287118, 287469, 287820, 288171, 288522, 288873, 289224, 289575, 289926, 290277, 290628, 290979, 291330, 291681, 292032, 292383, 292734, 293085, 293436, 293787, 294138, 294489, 294840, 295191, 295542, 295893, 296244, 296595, 296946, 297297, 297648, 297999, 298350, 298701, 299052, 299403, 299754, 300105, 300456, 300807, 301158, 301509, 301860, 302211, 302562, 302913, 303264, 303615, 303966, 304317, 304668, 305019, 305370, 305721, 306072, 306423, 306774, 307125, 307476, 307827, 308178, 308529, 308880, 309231, 309582, 309933, 310284, 310635, 310986, 311337, 311688, 312039, 312390, 312741, 313092, 313443, 313794, 314145, 314496, 314847, 315198, 315549, 315900, 316251, 316602, 316953, 317304, 317655, 318006, 318357, 318708, 319059, 319410, 319761, 320112, 320463, 320814, 321165, 321516, 321867, 322218, 322569, 322920, 323271, 323622, 323973, 324324, 324675, 325026, 325377, 325728, 326079, 326430, 326781, 327132, 327483, 327834, 328185, 328536, 328887, 329238, 329589, 329940, 330291, 330642, 330993, 331344, 331695, 332046, 332397, 332748, 333099, 333450, 333801, 334152, 334503, 334854, 335205, 335556, 335907, 336258, 336609, 336960, 337311, 337662, 338013, 338364, 338715, 339066, 339417, 339768, 340119, 340470, 340821, 341172, 341523, 341874, 342225, 342576, 342927, 343278, 343629, 343980, 344331, 344682, 345033, 345384, 345735, 346086, 346437, 346788, 347139, 347490, 347841, 348192, 348543, 348894, 349245, 349596, 349947, 350298, 350649, 351000, 351351, 351702, 352053, 352404, 352755, 353106, 353457, 353808, 354159, 354510, 354861, 355212, 355563, 355914, 356265, 356616, 356967, 357318, 357669, 358020, 358371, 358722, 359073, 359424, 359775, 360126, 360477, 360828, 361179, 361530, 361881, 362232, 362583, 362934, 363285, 363636, 363987, 364338, 364689, 365040, 365391, 365742, 366093, 366444, 366795, 367146, 367497, 367848, 368199, 368550, 368901, 369252, 369603, 369954, 370305, 370656, 371007, 371358, 371709, 372060, 372411, 372762, 373113, 373464, 373815, 374166, 374517, 374868, 375219, 375570, 375921, 376272, 376623, 376974, 377325, 377676, 378027, 378378, 378729, 379080, 379431, 379782, 380133, 380484, 380835, 381186, 381537, 381888, 382239, 382590, 382941, 383292, 383643, 383994, 384345, 384696, 385047, 385398, 385749, 386100, 386451, 386802, 387153, 387504, 387855, 388206, 388557, 388908, 389259, 389610, 389961, 390312, 390663, 391014, 391365, 391716, 392067, 392418, 392769, 393120, 393471, 393822, 394173, 394524, 394875, 395226, 395577, 395928, 396279, 396630, 396981, 397332, 397683, 398034, 398385, 398736, 399087, 399438, 399789, 400140, 400491, 400842, 401193, 401544, 401895, 402246, 402597, 402948, 403299, 403650, 404001, 404352, 404703, 405054, 405405, 405756, 406107, 406458, 406809, 407160, 407511, 407862, 408213, 408564, 408915, 409266, 409617, 409968, 410319, 410670, 411021, 411372, 411723, 412074, 412425, 412776, 413127, 413478, 413829, 414180, 414531, 414882, 415233, 415584, 415935, 416286, 416637, 416988, 417339, 417690, 418041, 418392, 418743, 419094, 419445, 419796, 420147, 420498, 420849, 421200, 421551, 421902, 422253, 422604, 422955, 423306, 423657, 424008, 424359, 424710, 425061, 425412, 425763, 426114, 426465, 426816, 427167, 427518, 427869, 428220, 428571, 428922, 429273, 429624, 429975, 430326, 430677, 431028, 431379, 431730, 432081, 432432, 432783, 433134, 433485, 433836, 434187, 434538, 434889, 435240, 435591, 435942, 436293, 436644, 436995, 437346, 437697, 438048, 438399, 438750, 439101, 439452, 439803, 440154, 440505, 440856, 441207, 441558, 441909, 442260, 442611, 442962, 443313, 443664, 444015, 444366, 444717, 445068, 445419, 445770, 446121, 446472, 446823, 447174, 447525, 447876, 448227, 448578, 448929, 449280, 449631, 449982, 450333, 450684, 451035, 451386, 451737, 452088, 452439, 452790, 453141, 453492, 453843, 454194, 454545, 454896, 455247, 455598, 455949, 456300, 456651, 457002, 457353, 457704, 458055, 458406, 458757, 459108, 459459, 459810, 460161, 460512, 460863, 461214, 461565, 461916, 462267, 462618, 462969, 463320, 463671, 464022, 464373, 464724, 465075, 465426, 465777, 466128, 466479, 466830, 467181, 467532, 467883, 468234, 468585, 468936, 469287, 469638, 469989, 470340, 470691, 471042, 471393, 471744, 472095, 472446, 472797, 473148, 473499, 473850, 474201, 474552, 474903, 475254, 475605, 475956, 476307, 476658, 477009, 477360, 477711, 478062, 478413, 478764, 479115, 479466, 479817, 480168, 480519, 480870, 481221, 481572, 481923, 482274, 482625, 482976, 483327, 483678, 484029, 484380, 484731, 485082, 485433, 485784, 486135, 486486, 486837, 487188, 487539, 487890, 488241, 488592, 488943, 489294, 489645, 489996, 490347, 490698, 491049, 491400, 491751, 492102, 492453, 492804, 493155, 493506, 493857, 494208, 494559, 494910, 495261, 495612, 495963, 496314, 496665, 497016, 497367, 497718, 498069, 498420, 498771, 499122, 499473, 499824, 500175, 500526, 500877, 501228, 501579, 501930, 502281, 502632, 502983, 503334, 503685, 504036, 504387, 504738, 505089, 505440, 505791, 506142, 506493, 506844, 507195, 507546, 507897, 508248, 508599, 508950, 509301, 509652, 510003, 510354, 510705, 511056, 511407, 511758, 512109, 512460, 512811, 513162, 513513, 513864, 514215, 514566, 514917, 515268, 515619, 515970, 516321, 516672, 517023, 517374, 517725, 518076, 518427, 518778, 519129, 519480, 519831, 520182, 520533, 520884, 521235, 521586, 521937, 522288, 522639, 522990, 523341, 523692, 524043, 524394, 524745, 525096, 525447, 525798, 526149, 526500, 526851, 527202, 527553, 527904, 528255, 528606, 528957, 529308, 529659, 530010, 530361, 530712, 531063, 531414, 531765, 532116, 532467, 532818, 533169, 533520, 533871
  • Multiples of 1521: 1521, 3042, 4563, 6084, 7605, 9126, 10647, 12168, 13689, 15210, 16731, 18252, 19773, 21294, 22815, 24336, 25857, 27378, 28899, 30420, 31941, 33462, 34983, 36504, 38025, 39546, 41067, 42588, 44109, 45630, 47151, 48672, 50193, 51714, 53235, 54756, 56277, 57798, 59319, 60840, 62361, 63882, 65403, 66924, 68445, 69966, 71487, 73008, 74529, 76050, 77571, 79092, 80613, 82134, 83655, 85176, 86697, 88218, 89739, 91260, 92781, 94302, 95823, 97344, 98865, 100386, 101907, 103428, 104949, 106470, 107991, 109512, 111033, 112554, 114075, 115596, 117117, 118638, 120159, 121680, 123201, 124722, 126243, 127764, 129285, 130806, 132327, 133848, 135369, 136890, 138411, 139932, 141453, 142974, 144495, 146016, 147537, 149058, 150579, 152100, 153621, 155142, 156663, 158184, 159705, 161226, 162747, 164268, 165789, 167310, 168831, 170352, 171873, 173394, 174915, 176436, 177957, 179478, 180999, 182520, 184041, 185562, 187083, 188604, 190125, 191646, 193167, 194688, 196209, 197730, 199251, 200772, 202293, 203814, 205335, 206856, 208377, 209898, 211419, 212940, 214461, 215982, 217503, 219024, 220545, 222066, 223587, 225108, 226629, 228150, 229671, 231192, 232713, 234234, 235755, 237276, 238797, 240318, 241839, 243360, 244881, 246402, 247923, 249444, 250965, 252486, 254007, 255528, 257049, 258570, 260091, 261612, 263133, 264654, 266175, 267696, 269217, 270738, 272259, 273780, 275301, 276822, 278343, 279864, 281385, 282906, 284427, 285948, 287469, 288990, 290511, 292032, 293553, 295074, 296595, 298116, 299637, 301158, 302679, 304200, 305721, 307242, 308763, 310284, 311805, 313326, 314847, 316368, 317889, 319410, 320931, 322452, 323973, 325494, 327015, 328536, 330057, 331578, 333099, 334620, 336141, 337662, 339183, 340704, 342225, 343746, 345267, 346788, 348309, 349830, 351351, 352872, 354393, 355914, 357435, 358956, 360477, 361998, 363519, 365040, 366561, 368082, 369603, 371124, 372645, 374166, 375687, 377208, 378729, 380250, 381771, 383292, 384813, 386334, 387855, 389376, 390897, 392418, 393939, 395460, 396981, 398502, 400023, 401544, 403065, 404586, 406107, 407628, 409149, 410670, 412191, 413712, 415233, 416754, 418275, 419796, 421317, 422838, 424359, 425880, 427401, 428922, 430443, 431964, 433485, 435006, 436527, 438048, 439569, 441090, 442611, 444132, 445653, 447174, 448695, 450216, 451737, 453258, 454779, 456300, 457821, 459342, 460863, 462384, 463905, 465426, 466947, 468468, 469989, 471510, 473031, 474552, 476073, 477594, 479115, 480636, 482157, 483678, 485199, 486720, 488241, 489762, 491283, 492804, 494325, 495846, 497367, 498888, 500409, 501930, 503451, 504972, 506493, 508014, 509535, 511056, 512577, 514098, 515619, 517140, 518661, 520182, 521703, 523224, 524745, 526266, 527787, 529308, 530829, 532350, 533871

Hence, LCM of 351 and 1521 is 4563.

Steps to find LCM of 351 and 1521 by Common Division Method

Example: Find lcm of 351 and 1521 by Common Division Method

3 351 1521
3 117 507
3 39 169
13 13 169
13 1 13
1 1

Hence, LCM of 351 and 1521 is 3 x 3 x 3 x 13 x 13 = 4563.

Steps to find lcm of 351 and 1521 by Formula

Example: Find lcm of 351 and 1521 by Formula

  • GCF of 351 and 1521 = 117
  • LCM of 351 and 1521 = (351 x 1521) / 117
  • => 533871 / 117

Hence, LCM of 351 and 1521 is 4563.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 351 and 1521 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 351 and 1521 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 351 and 1521.
So, LCM of 351 and 1521 is 4563.

Boxes that are 351 inches tall are being pilled next to boxes that are 1521 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 351 and 1521.
So, LCM of 351 and 1521 is 4563.

Sammy's company prints 351 textbooks at a time. Daniel's company prints textbooks in sets of 1521 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 351 and 1521.
So, LCM of 351 and 1521 is 4563.

Ariel exercises every 351 days and Rubel every 1521 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 351 and 1521 is 4563.

Find the LCM of 351 and 1521 using GCF method.

Greatest common factor or gcf of 351 and 1521 is GCF(351, 1521) x LCM(351, 1521) = (351 x 1521) / GCF(351, 1521) = 4563.

Find the least common multiple of 351 and 1521.

Least common multiple of 351 and 1521 is 4563.

Find the least number which is exactly divisible by 351 and 1521.

Least number which is exactly divisible by 351 and 1521 is 4563.

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