What is LCM of 248 and 868?


What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 248 and 868 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(248, 868).

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 248 and 868 is 1736, where 248 and 868 are less than 1736.
  • LCM is associative which means LCM(248, 868) = LCM(868, 248).
  • 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 248 and 868 by Listing Method

Example: Find lcm of 248 and 868 by Listing Method

  • Multiples of 248: 248, 496, 744, 992, 1240, 1488, 1736, 1984, 2232, 2480, 2728, 2976, 3224, 3472, 3720, 3968, 4216, 4464, 4712, 4960, 5208, 5456, 5704, 5952, 6200, 6448, 6696, 6944, 7192, 7440, 7688, 7936, 8184, 8432, 8680, 8928, 9176, 9424, 9672, 9920, 10168, 10416, 10664, 10912, 11160, 11408, 11656, 11904, 12152, 12400, 12648, 12896, 13144, 13392, 13640, 13888, 14136, 14384, 14632, 14880, 15128, 15376, 15624, 15872, 16120, 16368, 16616, 16864, 17112, 17360, 17608, 17856, 18104, 18352, 18600, 18848, 19096, 19344, 19592, 19840, 20088, 20336, 20584, 20832, 21080, 21328, 21576, 21824, 22072, 22320, 22568, 22816, 23064, 23312, 23560, 23808, 24056, 24304, 24552, 24800, 25048, 25296, 25544, 25792, 26040, 26288, 26536, 26784, 27032, 27280, 27528, 27776, 28024, 28272, 28520, 28768, 29016, 29264, 29512, 29760, 30008, 30256, 30504, 30752, 31000, 31248, 31496, 31744, 31992, 32240, 32488, 32736, 32984, 33232, 33480, 33728, 33976, 34224, 34472, 34720, 34968, 35216, 35464, 35712, 35960, 36208, 36456, 36704, 36952, 37200, 37448, 37696, 37944, 38192, 38440, 38688, 38936, 39184, 39432, 39680, 39928, 40176, 40424, 40672, 40920, 41168, 41416, 41664, 41912, 42160, 42408, 42656, 42904, 43152, 43400, 43648, 43896, 44144, 44392, 44640, 44888, 45136, 45384, 45632, 45880, 46128, 46376, 46624, 46872, 47120, 47368, 47616, 47864, 48112, 48360, 48608, 48856, 49104, 49352, 49600, 49848, 50096, 50344, 50592, 50840, 51088, 51336, 51584, 51832, 52080, 52328, 52576, 52824, 53072, 53320, 53568, 53816, 54064, 54312, 54560, 54808, 55056, 55304, 55552, 55800, 56048, 56296, 56544, 56792, 57040, 57288, 57536, 57784, 58032, 58280, 58528, 58776, 59024, 59272, 59520, 59768, 60016, 60264, 60512, 60760, 61008, 61256, 61504, 61752, 62000, 62248, 62496, 62744, 62992, 63240, 63488, 63736, 63984, 64232, 64480, 64728, 64976, 65224, 65472, 65720, 65968, 66216, 66464, 66712, 66960, 67208, 67456, 67704, 67952, 68200, 68448, 68696, 68944, 69192, 69440, 69688, 69936, 70184, 70432, 70680, 70928, 71176, 71424, 71672, 71920, 72168, 72416, 72664, 72912, 73160, 73408, 73656, 73904, 74152, 74400, 74648, 74896, 75144, 75392, 75640, 75888, 76136, 76384, 76632, 76880, 77128, 77376, 77624, 77872, 78120, 78368, 78616, 78864, 79112, 79360, 79608, 79856, 80104, 80352, 80600, 80848, 81096, 81344, 81592, 81840, 82088, 82336, 82584, 82832, 83080, 83328, 83576, 83824, 84072, 84320, 84568, 84816, 85064, 85312, 85560, 85808, 86056, 86304, 86552, 86800, 87048, 87296, 87544, 87792, 88040, 88288, 88536, 88784, 89032, 89280, 89528, 89776, 90024, 90272, 90520, 90768, 91016, 91264, 91512, 91760, 92008, 92256, 92504, 92752, 93000, 93248, 93496, 93744, 93992, 94240, 94488, 94736, 94984, 95232, 95480, 95728, 95976, 96224, 96472, 96720, 96968, 97216, 97464, 97712, 97960, 98208, 98456, 98704, 98952, 99200, 99448, 99696, 99944, 100192, 100440, 100688, 100936, 101184, 101432, 101680, 101928, 102176, 102424, 102672, 102920, 103168, 103416, 103664, 103912, 104160, 104408, 104656, 104904, 105152, 105400, 105648, 105896, 106144, 106392, 106640, 106888, 107136, 107384, 107632, 107880, 108128, 108376, 108624, 108872, 109120, 109368, 109616, 109864, 110112, 110360, 110608, 110856, 111104, 111352, 111600, 111848, 112096, 112344, 112592, 112840, 113088, 113336, 113584, 113832, 114080, 114328, 114576, 114824, 115072, 115320, 115568, 115816, 116064, 116312, 116560, 116808, 117056, 117304, 117552, 117800, 118048, 118296, 118544, 118792, 119040, 119288, 119536, 119784, 120032, 120280, 120528, 120776, 121024, 121272, 121520, 121768, 122016, 122264, 122512, 122760, 123008, 123256, 123504, 123752, 124000, 124248, 124496, 124744, 124992, 125240, 125488, 125736, 125984, 126232, 126480, 126728, 126976, 127224, 127472, 127720, 127968, 128216, 128464, 128712, 128960, 129208, 129456, 129704, 129952, 130200, 130448, 130696, 130944, 131192, 131440, 131688, 131936, 132184, 132432, 132680, 132928, 133176, 133424, 133672, 133920, 134168, 134416, 134664, 134912, 135160, 135408, 135656, 135904, 136152, 136400, 136648, 136896, 137144, 137392, 137640, 137888, 138136, 138384, 138632, 138880, 139128, 139376, 139624, 139872, 140120, 140368, 140616, 140864, 141112, 141360, 141608, 141856, 142104, 142352, 142600, 142848, 143096, 143344, 143592, 143840, 144088, 144336, 144584, 144832, 145080, 145328, 145576, 145824, 146072, 146320, 146568, 146816, 147064, 147312, 147560, 147808, 148056, 148304, 148552, 148800, 149048, 149296, 149544, 149792, 150040, 150288, 150536, 150784, 151032, 151280, 151528, 151776, 152024, 152272, 152520, 152768, 153016, 153264, 153512, 153760, 154008, 154256, 154504, 154752, 155000, 155248, 155496, 155744, 155992, 156240, 156488, 156736, 156984, 157232, 157480, 157728, 157976, 158224, 158472, 158720, 158968, 159216, 159464, 159712, 159960, 160208, 160456, 160704, 160952, 161200, 161448, 161696, 161944, 162192, 162440, 162688, 162936, 163184, 163432, 163680, 163928, 164176, 164424, 164672, 164920, 165168, 165416, 165664, 165912, 166160, 166408, 166656, 166904, 167152, 167400, 167648, 167896, 168144, 168392, 168640, 168888, 169136, 169384, 169632, 169880, 170128, 170376, 170624, 170872, 171120, 171368, 171616, 171864, 172112, 172360, 172608, 172856, 173104, 173352, 173600, 173848, 174096, 174344, 174592, 174840, 175088, 175336, 175584, 175832, 176080, 176328, 176576, 176824, 177072, 177320, 177568, 177816, 178064, 178312, 178560, 178808, 179056, 179304, 179552, 179800, 180048, 180296, 180544, 180792, 181040, 181288, 181536, 181784, 182032, 182280, 182528, 182776, 183024, 183272, 183520, 183768, 184016, 184264, 184512, 184760, 185008, 185256, 185504, 185752, 186000, 186248, 186496, 186744, 186992, 187240, 187488, 187736, 187984, 188232, 188480, 188728, 188976, 189224, 189472, 189720, 189968, 190216, 190464, 190712, 190960, 191208, 191456, 191704, 191952, 192200, 192448, 192696, 192944, 193192, 193440, 193688, 193936, 194184, 194432, 194680, 194928, 195176, 195424, 195672, 195920, 196168, 196416, 196664, 196912, 197160, 197408, 197656, 197904, 198152, 198400, 198648, 198896, 199144, 199392, 199640, 199888, 200136, 200384, 200632, 200880, 201128, 201376, 201624, 201872, 202120, 202368, 202616, 202864, 203112, 203360, 203608, 203856, 204104, 204352, 204600, 204848, 205096, 205344, 205592, 205840, 206088, 206336, 206584, 206832, 207080, 207328, 207576, 207824, 208072, 208320, 208568, 208816, 209064, 209312, 209560, 209808, 210056, 210304, 210552, 210800, 211048, 211296, 211544, 211792, 212040, 212288, 212536, 212784, 213032, 213280, 213528, 213776, 214024, 214272, 214520, 214768, 215016, 215264
  • Multiples of 868: 868, 1736, 2604, 3472, 4340, 5208, 6076, 6944, 7812, 8680, 9548, 10416, 11284, 12152, 13020, 13888, 14756, 15624, 16492, 17360, 18228, 19096, 19964, 20832, 21700, 22568, 23436, 24304, 25172, 26040, 26908, 27776, 28644, 29512, 30380, 31248, 32116, 32984, 33852, 34720, 35588, 36456, 37324, 38192, 39060, 39928, 40796, 41664, 42532, 43400, 44268, 45136, 46004, 46872, 47740, 48608, 49476, 50344, 51212, 52080, 52948, 53816, 54684, 55552, 56420, 57288, 58156, 59024, 59892, 60760, 61628, 62496, 63364, 64232, 65100, 65968, 66836, 67704, 68572, 69440, 70308, 71176, 72044, 72912, 73780, 74648, 75516, 76384, 77252, 78120, 78988, 79856, 80724, 81592, 82460, 83328, 84196, 85064, 85932, 86800, 87668, 88536, 89404, 90272, 91140, 92008, 92876, 93744, 94612, 95480, 96348, 97216, 98084, 98952, 99820, 100688, 101556, 102424, 103292, 104160, 105028, 105896, 106764, 107632, 108500, 109368, 110236, 111104, 111972, 112840, 113708, 114576, 115444, 116312, 117180, 118048, 118916, 119784, 120652, 121520, 122388, 123256, 124124, 124992, 125860, 126728, 127596, 128464, 129332, 130200, 131068, 131936, 132804, 133672, 134540, 135408, 136276, 137144, 138012, 138880, 139748, 140616, 141484, 142352, 143220, 144088, 144956, 145824, 146692, 147560, 148428, 149296, 150164, 151032, 151900, 152768, 153636, 154504, 155372, 156240, 157108, 157976, 158844, 159712, 160580, 161448, 162316, 163184, 164052, 164920, 165788, 166656, 167524, 168392, 169260, 170128, 170996, 171864, 172732, 173600, 174468, 175336, 176204, 177072, 177940, 178808, 179676, 180544, 181412, 182280, 183148, 184016, 184884, 185752, 186620, 187488, 188356, 189224, 190092, 190960, 191828, 192696, 193564, 194432, 195300, 196168, 197036, 197904, 198772, 199640, 200508, 201376, 202244, 203112, 203980, 204848, 205716, 206584, 207452, 208320, 209188, 210056, 210924, 211792, 212660, 213528, 214396, 215264

Hence, LCM of 248 and 868 is 1736.

Steps to find LCM of 248 and 868 by Common Division Method

Example: Find lcm of 248 and 868 by Common Division Method

2 248 868
2 124 434
2 62 217
7 31 217
31 31 31
1 1

Hence, LCM of 248 and 868 is 2 x 2 x 2 x 7 x 31 = 1736.

Steps to find lcm of 248 and 868 by Formula

Example: Find lcm of 248 and 868 by Formula

  • GCF of 248 and 868 = 124
  • LCM of 248 and 868 = (248 x 868) / 124
  • => 215264 / 124

Hence, LCM of 248 and 868 is 1736.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 248 and 868 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 248 and 868 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 248 and 868.
So, LCM of 248 and 868 is 1736.

A shopkeeper sells candies in packet of 248 and chocolates in packet of 868. 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 248 and 868.
So, LCM of 248 and 868 is 1736.

Both the cricket team and the rugby team had games, today. The cricket team plays every 248 days and the basketball team plays every 868 days. When will both teams have games on the same day again?

Given that the cricket team plays every 248 days and the basketball team plays every 868 days, so for finding the next time when both teams will play again we need to find the LCM of 248 and 868.
So, LCM of 248 and 868 is 1736.

Sammy's company prints 248 textbooks at a time. Daniel's company prints textbooks in sets of 868 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 248 and 868.
So, LCM of 248 and 868 is 1736.

Ariel exercises every 248 days and Rubel every 868 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 248 and 868 is 1736.

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

Greatest common factors or gcf of 248 and 868 is GCF(248, 868) * LCM(248, 868) = (248 x 868) / GCF(248, 868) = 1736.

Find the least number which is exactly divisible by 248 and 868.

Least number which is exactly divisible by 248 and 868 is 1736.