LCM for 120 and 240

The first method to find LCM for numbers 120 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 240 is 120, so

LCM = (120 × 240) ÷ 120

LCM = 28800 ÷ 120

LCM = 240

The second method to find LCM for numbers 120 and 240 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480

Multiples of 240: 240, 480, 720, 960, 1200, 1440, 1680, 1920, 2160, 2400, 2640, 2880, 3120, 3360, 3600, 3840, 4080, 4320, 4560, 4800, 5040, 5280, 5520, 5760, 6000, 6240, 6480, 6720, 6960, 7200, 7440, 7680, 7920, 8160, 8400, 8640, 8880, 9120, 9360, 9600, 9840, 10080, 10320, 10560, 10800, 11040, 11280, 11520, 11760, 12000, 12240, 12480, 12720, 12960, 13200, 13440, 13680, 13920, 14160, 14400, 14640, 14880, 15120, 15360, 15600, 15840, 16080, 16320, 16560, 16800, 17040, 17280, 17520, 17760, 18000, 18240, 18480, 18720, 18960, 19200, 19440, 19680, 19920, 20160, 20400, 20640, 20880, 21120, 21360, 21600, 21840, 22080, 22320, 22560, 22800, 23040, 23280, 23520, 23760, 24000, 24240, 24480, 24720, 24960, 25200, 25440, 25680, 25920, 26160, 26400, 26640, 26880, 27120, 27360, 27600, 27840, 28080, 28320, 28560, 28800, 29040, 29280, 29520, 29760, 30000, 30240, 30480, 30720, 30960, 31200, 31440, 31680, 31920, 32160, 32400, 32640, 32880, 33120, 33360, 33600, 33840, 34080, 34320, 34560, 34800, 35040, 35280, 35520, 35760, 36000, 36240, 36480, 36720, 36960, 37200, 37440, 37680, 37920, 38160, 38400, 38640, 38880, 39120, 39360, 39600, 39840, 40080, 40320, 40560, 40800, 41040, 41280, 41520, 41760, 42000, 42240, 42480, 42720, 42960, 43200, 43440, 43680, 43920, 44160, 44400, 44640, 44880, 45120, 45360, 45600, 45840, 46080, 46320, 46560, 46800, 47040, 47280, 47520, 47760, 48000, 48240, 48480, 48720, 48960, 49200, 49440, 49680, 49920, 50160, 50400, 50640, 50880, 51120, 51360, 51600, 51840, 52080, 52320, 52560, 52800, 53040, 53280, 53520, 53760, 54000, 54240, 54480, 54720, 54960, 55200, 55440, 55680, 55920, 56160, 56400, 56640, 56880, 57120, 57360, 57600, 57840, 58080, 58320, 58560, 58800, 59040, 59280, 59520, 59760, 60000, 60240, 60480, 60720, 60960, 61200, 61440, 61680, 61920, 62160, 62400, 62640, 62880, 63120, 63360, 63600, 63840, 64080, 64320, 64560, 64800, 65040, 65280, 65520, 65760, 66000, 66240, 66480, 66720, 66960, 67200, 67440, 67680, 67920, 68160, 68400, 68640, 68880, 69120, 69360, 69600, 69840, 70080, 70320, 70560, 70800, 71040, 71280, 71520, 71760, 72000, 72240, 72480, 72720, 72960, 73200, 73440, 73680, 73920, 74160, 74400, 74640, 74880, 75120, 75360, 75600, 75840, 76080, 76320, 76560, 76800, 77040, 77280, 77520, 77760, 78000, 78240, 78480, 78720, 78960, 79200, 79440, 79680, 79920, 80160, 80400, 80640, 80880, 81120, 81360, 81600, 81840, 82080, 82320, 82560, 82800, 83040, 83280, 83520, 83760, 84000, 84240, 84480, 84720, 84960, 85200, 85440, 85680, 85920, 86160, 86400, 86640, 86880, 87120, 87360, 87600, 87840, 88080, 88320, 88560, 88800, 89040, 89280, 89520, 89760, 90000, 90240, 90480, 90720, 90960, 91200, 91440, 91680, 91920, 92160, 92400, 92640, 92880, 93120, 93360, 93600, 93840, 94080, 94320, 94560, 94800, 95040, 95280, 95520, 95760, 96000, 96240, 96480, 96720, 96960, 97200, 97440, 97680, 97920, 98160, 98400, 98640, 98880, 99120, 99360, 99600, 99840, 100080, 100320, 100560, 100800, 101040, 101280, 101520, 101760, 102000, 102240, 102480, 102720, 102960, 103200, 103440, 103680, 103920, 104160, 104400, 104640, 104880, 105120, 105360, 105600, 105840, 106080, 106320, 106560, 106800, 107040, 107280, 107520, 107760, 108000, 108240, 108480, 108720, 108960, 109200, 109440, 109680, 109920, 110160, 110400, 110640, 110880, 111120, 111360, 111600, 111840, 112080, 112320, 112560, 112800, 113040, 113280, 113520, 113760, 114000, 114240, 114480, 114720, 114960, 115200, 115440, 115680, 115920, 116160, 116400, 116640, 116880, 117120, 117360, 117600, 117840, 118080, 118320, 118560, 118800, 119040, 119280, 119520, 119760, 120000, 120240, 120480, 120720, 120960, 121200, 121440, 121680, 121920, 122160, 122400, 122640, 122880, 123120, 123360, 123600, 123840, 124080, 124320, 124560, 124800, 125040, 125280, 125520, 125760, 126000, 126240, 126480, 126720, 126960, 127200, 127440, 127680, 127920, 128160, 128400, 128640, 128880, 129120, 129360, 129600, 129840, 130080, 130320, 130560, 130800, 131040, 131280, 131520, 131760, 132000, 132240, 132480, 132720, 132960, 133200, 133440, 133680, 133920, 134160, 134400, 134640, 134880, 135120, 135360, 135600, 135840, 136080, 136320, 136560, 136800, 137040, 137280, 137520, 137760, 138000, 138240, 138480, 138720, 138960, 139200, 139440, 139680, 139920, 140160, 140400, 140640, 140880, 141120, 141360, 141600, 141840, 142080, 142320, 142560, 142800, 143040, 143280, 143520, 143760, 144000, 144240, 144480, 144720, 144960, 145200, 145440, 145680, 145920, 146160, 146400, 146640, 146880, 147120, 147360, 147600, 147840, 148080, 148320, 148560, 148800, 149040, 149280, 149520, 149760, 150000, 150240, 150480, 150720, 150960, 151200, 151440, 151680, 151920, 152160, 152400, 152640, 152880, 153120, 153360, 153600, 153840, 154080, 154320, 154560, 154800, 155040, 155280, 155520, 155760, 156000, 156240, 156480, 156720, 156960, 157200, 157440, 157680, 157920, 158160, 158400, 158640, 158880, 159120, 159360, 159600, 159840, 160080, 160320, 160560, 160800, 161040, 161280, 161520, 161760, 162000, 162240, 162480, 162720, 162960, 163200, 163440, 163680, 163920, 164160, 164400, 164640, 164880, 165120, 165360, 165600, 165840, 166080, 166320, 166560, 166800, 167040, 167280, 167520, 167760, 168000, 168240, 168480, 168720, 168960, 169200, 169440, 169680, 169920, 170160, 170400, 170640, 170880, 171120, 171360, 171600, 171840, 172080, 172320, 172560, 172800, 173040, 173280, 173520, 173760, 174000, 174240, 174480, 174720, 174960, 175200, 175440, 175680, 175920, 176160, 176400, 176640, 176880, 177120, 177360, 177600, 177840, 178080, 178320, 178560, 178800, 179040, 179280, 179520, 179760, 180000, 180240, 180480, 180720, 180960, 181200, 181440, 181680, 181920, 182160, 182400, 182640, 182880, 183120, 183360, 183600, 183840, 184080, 184320, 184560, 184800, 185040, 185280, 185520, 185760, 186000, 186240, 186480, 186720, 186960, 187200, 187440, 187680, 187920, 188160, 188400, 188640, 188880, 189120, 189360, 189600, 189840, 190080, 190320, 190560, 190800, 191040, 191280, 191520, 191760, 192000, 192240, 192480, 192720, 192960, 193200, 193440, 193680, 193920, 194160, 194400, 194640, 194880, 195120, 195360, 195600, 195840, 196080, 196320, 196560, 196800, 197040, 197280, 197520, 197760, 198000, 198240, 198480, 198720, 198960, 199200, 199440, 199680, 199920, 200160, 200400, 200640, 200880, 201120, 201360, 201600, 201840, 202080, 202320, 202560, 202800, 203040, 203280, 203520, 203760, 204000, 204240, 204480, 204720, 204960, 205200, 205440, 205680, 205920, 206160, 206400, 206640, 206880, 207120, 207360, 207600, 207840, 208080, 208320, 208560, 208800, 209040, 209280, 209520, 209760, 210000, 210240, 210480, 210720, 210960, 211200, 211440, 211680, 211920, 212160, 212400, 212640, 212880, 213120, 213360, 213600, 213840, 214080, 214320, 214560, 214800, 215040, 215280, 215520, 215760, 216000, 216240, 216480, 216720, 216960, 217200, 217440, 217680, 217920, 218160, 218400, 218640, 218880, 219120, 219360, 219600, 219840, 220080, 220320, 220560, 220800, 221040, 221280, 221520, 221760, 222000, 222240, 222480, 222720, 222960, 223200, 223440, 223680, 223920, 224160, 224400, 224640, 224880, 225120, 225360, 225600, 225840, 226080, 226320, 226560, 226800, 227040, 227280, 227520, 227760, 228000, 228240, 228480, 228720, 228960, 229200, 229440, 229680, 229920, 230160, 230400, 230640, 230880, 231120, 231360, 231600, 231840, 232080, 232320, 232560, 232800, 233040, 233280, 233520, 233760, 234000, 234240, 234480, 234720, 234960, 235200, 235440, 235680, 235920, 236160, 236400, 236640, 236880, 237120, 237360, 237600, 237840, 238080, 238320, 238560, 238800, 239040, 239280, 239520, 239760, 240000, [...], 240

So the LCM for 120 and 240 is 240

Another method to find LCM for numbers 120 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: