What is LCM of 243 and 1089?


What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 243 and 1089 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(243, 1089).

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 243 and 1089 is 29403, where 243 and 1089 are less than 29403.
  • 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(243, 1089) = LCM(1089, 243).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 243 and 1089 by Listing Method

Example: Find lcm of 243 and 1089 by Listing Method

  • Multiples of 243: 243, 486, 729, 972, 1215, 1458, 1701, 1944, 2187, 2430, 2673, 2916, 3159, 3402, 3645, 3888, 4131, 4374, 4617, 4860, 5103, 5346, 5589, 5832, 6075, 6318, 6561, 6804, 7047, 7290, 7533, 7776, 8019, 8262, 8505, 8748, 8991, 9234, 9477, 9720, 9963, 10206, 10449, 10692, 10935, 11178, 11421, 11664, 11907, 12150, 12393, 12636, 12879, 13122, 13365, 13608, 13851, 14094, 14337, 14580, 14823, 15066, 15309, 15552, 15795, 16038, 16281, 16524, 16767, 17010, 17253, 17496, 17739, 17982, 18225, 18468, 18711, 18954, 19197, 19440, 19683, 19926, 20169, 20412, 20655, 20898, 21141, 21384, 21627, 21870, 22113, 22356, 22599, 22842, 23085, 23328, 23571, 23814, 24057, 24300, 24543, 24786, 25029, 25272, 25515, 25758, 26001, 26244, 26487, 26730, 26973, 27216, 27459, 27702, 27945, 28188, 28431, 28674, 28917, 29160, 29403, 29646, 29889, 30132, 30375, 30618, 30861, 31104, 31347, 31590, 31833, 32076, 32319, 32562, 32805, 33048, 33291, 33534, 33777, 34020, 34263, 34506, 34749, 34992, 35235, 35478, 35721, 35964, 36207, 36450, 36693, 36936, 37179, 37422, 37665, 37908, 38151, 38394, 38637, 38880, 39123, 39366, 39609, 39852, 40095, 40338, 40581, 40824, 41067, 41310, 41553, 41796, 42039, 42282, 42525, 42768, 43011, 43254, 43497, 43740, 43983, 44226, 44469, 44712, 44955, 45198, 45441, 45684, 45927, 46170, 46413, 46656, 46899, 47142, 47385, 47628, 47871, 48114, 48357, 48600, 48843, 49086, 49329, 49572, 49815, 50058, 50301, 50544, 50787, 51030, 51273, 51516, 51759, 52002, 52245, 52488, 52731, 52974, 53217, 53460, 53703, 53946, 54189, 54432, 54675, 54918, 55161, 55404, 55647, 55890, 56133, 56376, 56619, 56862, 57105, 57348, 57591, 57834, 58077, 58320, 58563, 58806, 59049, 59292, 59535, 59778, 60021, 60264, 60507, 60750, 60993, 61236, 61479, 61722, 61965, 62208, 62451, 62694, 62937, 63180, 63423, 63666, 63909, 64152, 64395, 64638, 64881, 65124, 65367, 65610, 65853, 66096, 66339, 66582, 66825, 67068, 67311, 67554, 67797, 68040, 68283, 68526, 68769, 69012, 69255, 69498, 69741, 69984, 70227, 70470, 70713, 70956, 71199, 71442, 71685, 71928, 72171, 72414, 72657, 72900, 73143, 73386, 73629, 73872, 74115, 74358, 74601, 74844, 75087, 75330, 75573, 75816, 76059, 76302, 76545, 76788, 77031, 77274, 77517, 77760, 78003, 78246, 78489, 78732, 78975, 79218, 79461, 79704, 79947, 80190, 80433, 80676, 80919, 81162, 81405, 81648, 81891, 82134, 82377, 82620, 82863, 83106, 83349, 83592, 83835, 84078, 84321, 84564, 84807, 85050, 85293, 85536, 85779, 86022, 86265, 86508, 86751, 86994, 87237, 87480, 87723, 87966, 88209, 88452, 88695, 88938, 89181, 89424, 89667, 89910, 90153, 90396, 90639, 90882, 91125, 91368, 91611, 91854, 92097, 92340, 92583, 92826, 93069, 93312, 93555, 93798, 94041, 94284, 94527, 94770, 95013, 95256, 95499, 95742, 95985, 96228, 96471, 96714, 96957, 97200, 97443, 97686, 97929, 98172, 98415, 98658, 98901, 99144, 99387, 99630, 99873, 100116, 100359, 100602, 100845, 101088, 101331, 101574, 101817, 102060, 102303, 102546, 102789, 103032, 103275, 103518, 103761, 104004, 104247, 104490, 104733, 104976, 105219, 105462, 105705, 105948, 106191, 106434, 106677, 106920, 107163, 107406, 107649, 107892, 108135, 108378, 108621, 108864, 109107, 109350, 109593, 109836, 110079, 110322, 110565, 110808, 111051, 111294, 111537, 111780, 112023, 112266, 112509, 112752, 112995, 113238, 113481, 113724, 113967, 114210, 114453, 114696, 114939, 115182, 115425, 115668, 115911, 116154, 116397, 116640, 116883, 117126, 117369, 117612, 117855, 118098, 118341, 118584, 118827, 119070, 119313, 119556, 119799, 120042, 120285, 120528, 120771, 121014, 121257, 121500, 121743, 121986, 122229, 122472, 122715, 122958, 123201, 123444, 123687, 123930, 124173, 124416, 124659, 124902, 125145, 125388, 125631, 125874, 126117, 126360, 126603, 126846, 127089, 127332, 127575, 127818, 128061, 128304, 128547, 128790, 129033, 129276, 129519, 129762, 130005, 130248, 130491, 130734, 130977, 131220, 131463, 131706, 131949, 132192, 132435, 132678, 132921, 133164, 133407, 133650, 133893, 134136, 134379, 134622, 134865, 135108, 135351, 135594, 135837, 136080, 136323, 136566, 136809, 137052, 137295, 137538, 137781, 138024, 138267, 138510, 138753, 138996, 139239, 139482, 139725, 139968, 140211, 140454, 140697, 140940, 141183, 141426, 141669, 141912, 142155, 142398, 142641, 142884, 143127, 143370, 143613, 143856, 144099, 144342, 144585, 144828, 145071, 145314, 145557, 145800, 146043, 146286, 146529, 146772, 147015, 147258, 147501, 147744, 147987, 148230, 148473, 148716, 148959, 149202, 149445, 149688, 149931, 150174, 150417, 150660, 150903, 151146, 151389, 151632, 151875, 152118, 152361, 152604, 152847, 153090, 153333, 153576, 153819, 154062, 154305, 154548, 154791, 155034, 155277, 155520, 155763, 156006, 156249, 156492, 156735, 156978, 157221, 157464, 157707, 157950, 158193, 158436, 158679, 158922, 159165, 159408, 159651, 159894, 160137, 160380, 160623, 160866, 161109, 161352, 161595, 161838, 162081, 162324, 162567, 162810, 163053, 163296, 163539, 163782, 164025, 164268, 164511, 164754, 164997, 165240, 165483, 165726, 165969, 166212, 166455, 166698, 166941, 167184, 167427, 167670, 167913, 168156, 168399, 168642, 168885, 169128, 169371, 169614, 169857, 170100, 170343, 170586, 170829, 171072, 171315, 171558, 171801, 172044, 172287, 172530, 172773, 173016, 173259, 173502, 173745, 173988, 174231, 174474, 174717, 174960, 175203, 175446, 175689, 175932, 176175, 176418, 176661, 176904, 177147, 177390, 177633, 177876, 178119, 178362, 178605, 178848, 179091, 179334, 179577, 179820, 180063, 180306, 180549, 180792, 181035, 181278, 181521, 181764, 182007, 182250, 182493, 182736, 182979, 183222, 183465, 183708, 183951, 184194, 184437, 184680, 184923, 185166, 185409, 185652, 185895, 186138, 186381, 186624, 186867, 187110, 187353, 187596, 187839, 188082, 188325, 188568, 188811, 189054, 189297, 189540, 189783, 190026, 190269, 190512, 190755, 190998, 191241, 191484, 191727, 191970, 192213, 192456, 192699, 192942, 193185, 193428, 193671, 193914, 194157, 194400, 194643, 194886, 195129, 195372, 195615, 195858, 196101, 196344, 196587, 196830, 197073, 197316, 197559, 197802, 198045, 198288, 198531, 198774, 199017, 199260, 199503, 199746, 199989, 200232, 200475, 200718, 200961, 201204, 201447, 201690, 201933, 202176, 202419, 202662, 202905, 203148, 203391, 203634, 203877, 204120, 204363, 204606, 204849, 205092, 205335, 205578, 205821, 206064, 206307, 206550, 206793, 207036, 207279, 207522, 207765, 208008, 208251, 208494, 208737, 208980, 209223, 209466, 209709, 209952, 210195, 210438, 210681, 210924, 211167, 211410, 211653, 211896, 212139, 212382, 212625, 212868, 213111, 213354, 213597, 213840, 214083, 214326, 214569, 214812, 215055, 215298, 215541, 215784, 216027, 216270, 216513, 216756, 216999, 217242, 217485, 217728, 217971, 218214, 218457, 218700, 218943, 219186, 219429, 219672, 219915, 220158, 220401, 220644, 220887, 221130, 221373, 221616, 221859, 222102, 222345, 222588, 222831, 223074, 223317, 223560, 223803, 224046, 224289, 224532, 224775, 225018, 225261, 225504, 225747, 225990, 226233, 226476, 226719, 226962, 227205, 227448, 227691, 227934, 228177, 228420, 228663, 228906, 229149, 229392, 229635, 229878, 230121, 230364, 230607, 230850, 231093, 231336, 231579, 231822, 232065, 232308, 232551, 232794, 233037, 233280, 233523, 233766, 234009, 234252, 234495, 234738, 234981, 235224, 235467, 235710, 235953, 236196, 236439, 236682, 236925, 237168, 237411, 237654, 237897, 238140, 238383, 238626, 238869, 239112, 239355, 239598, 239841, 240084, 240327, 240570, 240813, 241056, 241299, 241542, 241785, 242028, 242271, 242514, 242757, 243000, 243243, 243486, 243729, 243972, 244215, 244458, 244701, 244944, 245187, 245430, 245673, 245916, 246159, 246402, 246645, 246888, 247131, 247374, 247617, 247860, 248103, 248346, 248589, 248832, 249075, 249318, 249561, 249804, 250047, 250290, 250533, 250776, 251019, 251262, 251505, 251748, 251991, 252234, 252477, 252720, 252963, 253206, 253449, 253692, 253935, 254178, 254421, 254664, 254907, 255150, 255393, 255636, 255879, 256122, 256365, 256608, 256851, 257094, 257337, 257580, 257823, 258066, 258309, 258552, 258795, 259038, 259281, 259524, 259767, 260010, 260253, 260496, 260739, 260982, 261225, 261468, 261711, 261954, 262197, 262440, 262683, 262926, 263169, 263412, 263655, 263898, 264141, 264384, 264627
  • Multiples of 1089: 1089, 2178, 3267, 4356, 5445, 6534, 7623, 8712, 9801, 10890, 11979, 13068, 14157, 15246, 16335, 17424, 18513, 19602, 20691, 21780, 22869, 23958, 25047, 26136, 27225, 28314, 29403, 30492, 31581, 32670, 33759, 34848, 35937, 37026, 38115, 39204, 40293, 41382, 42471, 43560, 44649, 45738, 46827, 47916, 49005, 50094, 51183, 52272, 53361, 54450, 55539, 56628, 57717, 58806, 59895, 60984, 62073, 63162, 64251, 65340, 66429, 67518, 68607, 69696, 70785, 71874, 72963, 74052, 75141, 76230, 77319, 78408, 79497, 80586, 81675, 82764, 83853, 84942, 86031, 87120, 88209, 89298, 90387, 91476, 92565, 93654, 94743, 95832, 96921, 98010, 99099, 100188, 101277, 102366, 103455, 104544, 105633, 106722, 107811, 108900, 109989, 111078, 112167, 113256, 114345, 115434, 116523, 117612, 118701, 119790, 120879, 121968, 123057, 124146, 125235, 126324, 127413, 128502, 129591, 130680, 131769, 132858, 133947, 135036, 136125, 137214, 138303, 139392, 140481, 141570, 142659, 143748, 144837, 145926, 147015, 148104, 149193, 150282, 151371, 152460, 153549, 154638, 155727, 156816, 157905, 158994, 160083, 161172, 162261, 163350, 164439, 165528, 166617, 167706, 168795, 169884, 170973, 172062, 173151, 174240, 175329, 176418, 177507, 178596, 179685, 180774, 181863, 182952, 184041, 185130, 186219, 187308, 188397, 189486, 190575, 191664, 192753, 193842, 194931, 196020, 197109, 198198, 199287, 200376, 201465, 202554, 203643, 204732, 205821, 206910, 207999, 209088, 210177, 211266, 212355, 213444, 214533, 215622, 216711, 217800, 218889, 219978, 221067, 222156, 223245, 224334, 225423, 226512, 227601, 228690, 229779, 230868, 231957, 233046, 234135, 235224, 236313, 237402, 238491, 239580, 240669, 241758, 242847, 243936, 245025, 246114, 247203, 248292, 249381, 250470, 251559, 252648, 253737, 254826, 255915, 257004, 258093, 259182, 260271, 261360, 262449, 263538, 264627

Hence, LCM of 243 and 1089 is 29403.

Steps to find LCM of 243 and 1089 by Common Division Method

Example: Find lcm of 243 and 1089 by Common Division Method

3 243 1089
3 81 363
3 27 121
3 9 121
3 3 121
11 1 121
11 1 11
1 1

Hence, LCM of 243 and 1089 is 3 x 3 x 3 x 3 x 3 x 11 x 11 = 29403.

Steps to find lcm of 243 and 1089 by Formula

Example: Find lcm of 243 and 1089 by Formula

  • GCF of 243 and 1089 = 9
  • LCM of 243 and 1089 = (243 x 1089) / 9
  • => 264627 / 9

Hence, LCM of 243 and 1089 is 29403.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 243 and 1089 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 243 and 1089 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 243 and 1089.
So, LCM of 243 and 1089 is 29403.

Both the cricket team and the rugby team had games, today. The cricket team plays every 243 days and the basketball team plays every 1089 days. When will both teams have games on the same day again?

Given that the cricket team plays every 243 days and the basketball team plays every 1089 days, so for finding the next time when both teams will play again we need to find the LCM of 243 and 1089.
So, LCM of 243 and 1089 is 29403.

Steve spends 243 dollars every day while George spends 1089 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 243 and 1089.
So, LCM of 243 and 1089 is 29403.

Boxes that are 243 inches tall are being pilled next to boxes that are 1089 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 243 and 1089.
So, LCM of 243 and 1089 is 29403.

Find the LCM of 243 and 1089 using GCF method.

Greatest common factor or gcf of 243 and 1089 is GCF(243, 1089) x LCM(243, 1089) = (243 x 1089) / GCF(243, 1089) = 29403.

Find the least common multiple of 243 and 1089.

Least common multiple of 243 and 1089 is 29403.

Find the least number which is exactly divisible by 243 and 1089.

Least number which is exactly divisible by 243 and 1089 is 29403.