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LCM of 390 and 661

What is the LCM of 390 and 661? - The LCM of 390 and 661 is 257790. Follow the step by step instructions on how to find the least common multiple of 390 and 661.

Least Common Multiple of 390 and 661

Number 1:
Number 2:

What is the least common multiple of 390 and 661?

Answer: 257790

How to find the lcm of 390 and 661?

Method 1 - Listing Multiples

To find the lcm of 390 and 661, we first need to find the multiples of 390 and 661 and then choose the least common multiple that are dividable by 390 and 661.

Multiples of 390 = 390, 780, 1170, 1560, 1950, 2340, 2730, 3120, 3510, 3900, 4290, 4680, 5070, 5460, 5850, 6240, 6630, 7020, 7410, 7800, 8190, 8580, 8970, 9360, 9750, 10140, 10530, 10920, 11310, 11700, 12090, 12480, 12870, 13260, 13650, 14040, 14430, 14820, 15210, 15600, 15990, 16380, 16770, 17160, 17550, 17940, 18330, 18720, 19110, 19500, 19890, 20280, 20670, 21060, 21450, 21840, 22230, 22620, 23010, 23400, 23790, 24180, 24570, 24960, 25350, 25740, 26130, 26520, 26910, 27300, 27690, 28080, 28470, 28860, 29250, 29640, 30030, 30420, 30810, 31200, 31590, 31980, 32370, 32760, 33150, 33540, 33930, 34320, 34710, 35100, 35490, 35880, 36270, 36660, 37050, 37440, 37830, 38220, 38610, 39000, 39390, 39780, 40170, 40560, 40950, 41340, 41730, 42120, 42510, 42900, 43290, 43680, 44070, 44460, 44850, 45240, 45630, 46020, 46410, 46800, 47190, 47580, 47970, 48360, 48750, 49140, 49530, 49920, 50310, 50700, 51090, 51480, 51870, 52260, 52650, 53040, 53430, 53820, 54210, 54600, 54990, 55380, 55770, 56160, 56550, 56940, 57330, 57720, 58110, 58500, 58890, 59280, 59670, 60060, 60450, 60840, 61230, 61620, 62010, 62400, 62790, 63180, 63570, 63960, 64350, 64740, 65130, 65520, 65910, 66300, 66690, 67080, 67470, 67860, 68250, 68640, 69030, 69420, 69810, 70200, 70590, 70980, 71370, 71760, 72150, 72540, 72930, 73320, 73710, 74100, 74490, 74880, 75270, 75660, 76050, 76440, 76830, 77220, 77610, 78000, 78390, 78780, 79170, 79560, 79950, 80340, 80730, 81120, 81510, 81900, 82290, 82680, 83070, 83460, 83850, 84240, 84630, 85020, 85410, 85800, 86190, 86580, 86970, 87360, 87750, 88140, 88530, 88920, 89310, 89700, 90090, 90480, 90870, 91260, 91650, 92040, 92430, 92820, 93210, 93600, 93990, 94380, 94770, 95160, 95550, 95940, 96330, 96720, 97110, 97500, 97890, 98280, 98670, 99060, 99450, 99840, 100230, 100620, 101010, 101400, 101790, 102180, 102570, 102960, 103350, 103740, 104130, 104520, 104910, 105300, 105690, 106080, 106470, 106860, 107250, 107640, 108030, 108420, 108810, 109200, 109590, 109980, 110370, 110760, 111150, 111540, 111930, 112320, 112710, 113100, 113490, 113880, 114270, 114660, 115050, 115440, 115830, 116220, 116610, 117000, 117390, 117780, 118170, 118560, 118950, 119340, 119730, 120120, 120510, 120900, 121290, 121680, 122070, 122460, 122850, 123240, 123630, 124020, 124410, 124800, 125190, 125580, 125970, 126360, 126750, 127140, 127530, 127920, 128310, 128700, 129090, 129480, 129870, 130260, 130650, 131040, 131430, 131820, 132210, 132600, 132990, 133380, 133770, 134160, 134550, 134940, 135330, 135720, 136110, 136500, 136890, 137280, 137670, 138060, 138450, 138840, 139230, 139620, 140010, 140400, 140790, 141180, 141570, 141960, 142350, 142740, 143130, 143520, 143910, 144300, 144690, 145080, 145470, 145860, 146250, 146640, 147030, 147420, 147810, 148200, 148590, 148980, 149370, 149760, 150150, 150540, 150930, 151320, 151710, 152100, 152490, 152880, 153270, 153660, 154050, 154440, 154830, 155220, 155610, 156000, 156390, 156780, 157170, 157560, 157950, 158340, 158730, 159120, 159510, 159900, 160290, 160680, 161070, 161460, 161850, 162240, 162630, 163020, 163410, 163800, 164190, 164580, 164970, 165360, 165750, 166140, 166530, 166920, 167310, 167700, 168090, 168480, 168870, 169260, 169650, 170040, 170430, 170820, 171210, 171600, 171990, 172380, 172770, 173160, 173550, 173940, 174330, 174720, 175110, 175500, 175890, 176280, 176670, 177060, 177450, 177840, 178230, 178620, 179010, 179400, 179790, 180180, 180570, 180960, 181350, 181740, 182130, 182520, 182910, 183300, 183690, 184080, 184470, 184860, 185250, 185640, 186030, 186420, 186810, 187200, 187590, 187980, 188370, 188760, 189150, 189540, 189930, 190320, 190710, 191100, 191490, 191880, 192270, 192660, 193050, 193440, 193830, 194220, 194610, 195000, 195390, 195780, 196170, 196560, 196950, 197340, 197730, 198120, 198510, 198900, 199290, 199680, 200070, 200460, 200850, 201240, 201630, 202020, 202410, 202800, 203190, 203580, 203970, 204360, 204750, 205140, 205530, 205920, 206310, 206700, 207090, 207480, 207870, 208260, 208650, 209040, 209430, 209820, 210210, 210600, 210990, 211380, 211770, 212160, 212550, 212940, 213330, 213720, 214110, 214500, 214890, 215280, 215670, 216060, 216450, 216840, 217230, 217620, 218010, 218400, 218790, 219180, 219570, 219960, 220350, 220740, 221130, 221520, 221910, 222300, 222690, 223080, 223470, 223860, 224250, 224640, 225030, 225420, 225810, 226200, 226590, 226980, 227370, 227760, 228150, 228540, 228930, 229320, 229710, 230100, 230490, 230880, 231270, 231660, 232050, 232440, 232830, 233220, 233610, 234000, 234390, 234780, 235170, 235560, 235950, 236340, 236730, 237120, 237510, 237900, 238290, 238680, 239070, 239460, 239850, 240240, 240630, 241020, 241410, 241800, 242190, 242580, 242970, 243360, 243750, 244140, 244530, 244920, 245310, 245700, 246090, 246480, 246870, 247260, 247650, 248040, 248430, 248820, 249210, 249600, 249990, 250380, 250770, 251160, 251550, 251940, 252330, 252720, 253110, 253500, 253890, 254280, 254670, 255060, 255450, 255840, 256230, 256620, 257010, 257400, 257790
Multiples of 661 = 661, 1322, 1983, 2644, 3305, 3966, 4627, 5288, 5949, 6610, 7271, 7932, 8593, 9254, 9915, 10576, 11237, 11898, 12559, 13220, 13881, 14542, 15203, 15864, 16525, 17186, 17847, 18508, 19169, 19830, 20491, 21152, 21813, 22474, 23135, 23796, 24457, 25118, 25779, 26440, 27101, 27762, 28423, 29084, 29745, 30406, 31067, 31728, 32389, 33050, 33711, 34372, 35033, 35694, 36355, 37016, 37677, 38338, 38999, 39660, 40321, 40982, 41643, 42304, 42965, 43626, 44287, 44948, 45609, 46270, 46931, 47592, 48253, 48914, 49575, 50236, 50897, 51558, 52219, 52880, 53541, 54202, 54863, 55524, 56185, 56846, 57507, 58168, 58829, 59490, 60151, 60812, 61473, 62134, 62795, 63456, 64117, 64778, 65439, 66100, 66761, 67422, 68083, 68744, 69405, 70066, 70727, 71388, 72049, 72710, 73371, 74032, 74693, 75354, 76015, 76676, 77337, 77998, 78659, 79320, 79981, 80642, 81303, 81964, 82625, 83286, 83947, 84608, 85269, 85930, 86591, 87252, 87913, 88574, 89235, 89896, 90557, 91218, 91879, 92540, 93201, 93862, 94523, 95184, 95845, 96506, 97167, 97828, 98489, 99150, 99811, 100472, 101133, 101794, 102455, 103116, 103777, 104438, 105099, 105760, 106421, 107082, 107743, 108404, 109065, 109726, 110387, 111048, 111709, 112370, 113031, 113692, 114353, 115014, 115675, 116336, 116997, 117658, 118319, 118980, 119641, 120302, 120963, 121624, 122285, 122946, 123607, 124268, 124929, 125590, 126251, 126912, 127573, 128234, 128895, 129556, 130217, 130878, 131539, 132200, 132861, 133522, 134183, 134844, 135505, 136166, 136827, 137488, 138149, 138810, 139471, 140132, 140793, 141454, 142115, 142776, 143437, 144098, 144759, 145420, 146081, 146742, 147403, 148064, 148725, 149386, 150047, 150708, 151369, 152030, 152691, 153352, 154013, 154674, 155335, 155996, 156657, 157318, 157979, 158640, 159301, 159962, 160623, 161284, 161945, 162606, 163267, 163928, 164589, 165250, 165911, 166572, 167233, 167894, 168555, 169216, 169877, 170538, 171199, 171860, 172521, 173182, 173843, 174504, 175165, 175826, 176487, 177148, 177809, 178470, 179131, 179792, 180453, 181114, 181775, 182436, 183097, 183758, 184419, 185080, 185741, 186402, 187063, 187724, 188385, 189046, 189707, 190368, 191029, 191690, 192351, 193012, 193673, 194334, 194995, 195656, 196317, 196978, 197639, 198300, 198961, 199622, 200283, 200944, 201605, 202266, 202927, 203588, 204249, 204910, 205571, 206232, 206893, 207554, 208215, 208876, 209537, 210198, 210859, 211520, 212181, 212842, 213503, 214164, 214825, 215486, 216147, 216808, 217469, 218130, 218791, 219452, 220113, 220774, 221435, 222096, 222757, 223418, 224079, 224740, 225401, 226062, 226723, 227384, 228045, 228706, 229367, 230028, 230689, 231350, 232011, 232672, 233333, 233994, 234655, 235316, 235977, 236638, 237299, 237960, 238621, 239282, 239943, 240604, 241265, 241926, 242587, 243248, 243909, 244570, 245231, 245892, 246553, 247214, 247875, 248536, 249197, 249858, 250519, 251180, 251841, 252502, 253163, 253824, 254485, 255146, 255807, 256468, 257129, 257790

The least common multiple of 390 and 661 is 257790, because 257790 is the smallest number that is divisible by both 390 and 661.





Method 2 - Prime Factorization

Another method to find the least common multiple of 390 and 661 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 390 and 661, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 390 = 2 x 3 x 5 x 13
Prime factorization of 661 = 661
Prime factors to the highest power = 13 x 2 x 3 x 5 x 661 = 257790

LCM of 389 and 661
LCM of 391 and 661
LCM of 390 and 662
LCM of 390 and 660

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