What is LCM of 1089 and 231?


What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 1089 and 231.

Properties of LCM

  • The LCM of two or more prime numbers is exactly equal to their product.
  • LCM is associative which means LCM(1089, 231) = LCM(231, 1089).
  • 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 given numbers is always greater than the given numbers numbers. Eg- LCM of 1089 and 231 is 7623, where 7623 is greater than 1089 and 231.

Steps to find lcm of 1089 and 231 by Listing Method

Example: Find lcm of 1089 and 231 by Listing Method

  • 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
  • Multiples of 231: 231, 462, 693, 924, 1155, 1386, 1617, 1848, 2079, 2310, 2541, 2772, 3003, 3234, 3465, 3696, 3927, 4158, 4389, 4620, 4851, 5082, 5313, 5544, 5775, 6006, 6237, 6468, 6699, 6930, 7161, 7392, 7623, 7854, 8085, 8316, 8547, 8778, 9009, 9240, 9471, 9702, 9933, 10164, 10395, 10626, 10857, 11088, 11319, 11550, 11781, 12012, 12243, 12474, 12705, 12936, 13167, 13398, 13629, 13860, 14091, 14322, 14553, 14784, 15015, 15246, 15477, 15708, 15939, 16170, 16401, 16632, 16863, 17094, 17325, 17556, 17787, 18018, 18249, 18480, 18711, 18942, 19173, 19404, 19635, 19866, 20097, 20328, 20559, 20790, 21021, 21252, 21483, 21714, 21945, 22176, 22407, 22638, 22869, 23100, 23331, 23562, 23793, 24024, 24255, 24486, 24717, 24948, 25179, 25410, 25641, 25872, 26103, 26334, 26565, 26796, 27027, 27258, 27489, 27720, 27951, 28182, 28413, 28644, 28875, 29106, 29337, 29568, 29799, 30030, 30261, 30492, 30723, 30954, 31185, 31416, 31647, 31878, 32109, 32340, 32571, 32802, 33033, 33264, 33495, 33726, 33957, 34188, 34419, 34650, 34881, 35112, 35343, 35574, 35805, 36036, 36267, 36498, 36729, 36960, 37191, 37422, 37653, 37884, 38115, 38346, 38577, 38808, 39039, 39270, 39501, 39732, 39963, 40194, 40425, 40656, 40887, 41118, 41349, 41580, 41811, 42042, 42273, 42504, 42735, 42966, 43197, 43428, 43659, 43890, 44121, 44352, 44583, 44814, 45045, 45276, 45507, 45738, 45969, 46200, 46431, 46662, 46893, 47124, 47355, 47586, 47817, 48048, 48279, 48510, 48741, 48972, 49203, 49434, 49665, 49896, 50127, 50358, 50589, 50820, 51051, 51282, 51513, 51744, 51975, 52206, 52437, 52668, 52899, 53130, 53361, 53592, 53823, 54054, 54285, 54516, 54747, 54978, 55209, 55440, 55671, 55902, 56133, 56364, 56595, 56826, 57057, 57288, 57519, 57750, 57981, 58212, 58443, 58674, 58905, 59136, 59367, 59598, 59829, 60060, 60291, 60522, 60753, 60984, 61215, 61446, 61677, 61908, 62139, 62370, 62601, 62832, 63063, 63294, 63525, 63756, 63987, 64218, 64449, 64680, 64911, 65142, 65373, 65604, 65835, 66066, 66297, 66528, 66759, 66990, 67221, 67452, 67683, 67914, 68145, 68376, 68607, 68838, 69069, 69300, 69531, 69762, 69993, 70224, 70455, 70686, 70917, 71148, 71379, 71610, 71841, 72072, 72303, 72534, 72765, 72996, 73227, 73458, 73689, 73920, 74151, 74382, 74613, 74844, 75075, 75306, 75537, 75768, 75999, 76230, 76461, 76692, 76923, 77154, 77385, 77616, 77847, 78078, 78309, 78540, 78771, 79002, 79233, 79464, 79695, 79926, 80157, 80388, 80619, 80850, 81081, 81312, 81543, 81774, 82005, 82236, 82467, 82698, 82929, 83160, 83391, 83622, 83853, 84084, 84315, 84546, 84777, 85008, 85239, 85470, 85701, 85932, 86163, 86394, 86625, 86856, 87087, 87318, 87549, 87780, 88011, 88242, 88473, 88704, 88935, 89166, 89397, 89628, 89859, 90090, 90321, 90552, 90783, 91014, 91245, 91476, 91707, 91938, 92169, 92400, 92631, 92862, 93093, 93324, 93555, 93786, 94017, 94248, 94479, 94710, 94941, 95172, 95403, 95634, 95865, 96096, 96327, 96558, 96789, 97020, 97251, 97482, 97713, 97944, 98175, 98406, 98637, 98868, 99099, 99330, 99561, 99792, 100023, 100254, 100485, 100716, 100947, 101178, 101409, 101640, 101871, 102102, 102333, 102564, 102795, 103026, 103257, 103488, 103719, 103950, 104181, 104412, 104643, 104874, 105105, 105336, 105567, 105798, 106029, 106260, 106491, 106722, 106953, 107184, 107415, 107646, 107877, 108108, 108339, 108570, 108801, 109032, 109263, 109494, 109725, 109956, 110187, 110418, 110649, 110880, 111111, 111342, 111573, 111804, 112035, 112266, 112497, 112728, 112959, 113190, 113421, 113652, 113883, 114114, 114345, 114576, 114807, 115038, 115269, 115500, 115731, 115962, 116193, 116424, 116655, 116886, 117117, 117348, 117579, 117810, 118041, 118272, 118503, 118734, 118965, 119196, 119427, 119658, 119889, 120120, 120351, 120582, 120813, 121044, 121275, 121506, 121737, 121968, 122199, 122430, 122661, 122892, 123123, 123354, 123585, 123816, 124047, 124278, 124509, 124740, 124971, 125202, 125433, 125664, 125895, 126126, 126357, 126588, 126819, 127050, 127281, 127512, 127743, 127974, 128205, 128436, 128667, 128898, 129129, 129360, 129591, 129822, 130053, 130284, 130515, 130746, 130977, 131208, 131439, 131670, 131901, 132132, 132363, 132594, 132825, 133056, 133287, 133518, 133749, 133980, 134211, 134442, 134673, 134904, 135135, 135366, 135597, 135828, 136059, 136290, 136521, 136752, 136983, 137214, 137445, 137676, 137907, 138138, 138369, 138600, 138831, 139062, 139293, 139524, 139755, 139986, 140217, 140448, 140679, 140910, 141141, 141372, 141603, 141834, 142065, 142296, 142527, 142758, 142989, 143220, 143451, 143682, 143913, 144144, 144375, 144606, 144837, 145068, 145299, 145530, 145761, 145992, 146223, 146454, 146685, 146916, 147147, 147378, 147609, 147840, 148071, 148302, 148533, 148764, 148995, 149226, 149457, 149688, 149919, 150150, 150381, 150612, 150843, 151074, 151305, 151536, 151767, 151998, 152229, 152460, 152691, 152922, 153153, 153384, 153615, 153846, 154077, 154308, 154539, 154770, 155001, 155232, 155463, 155694, 155925, 156156, 156387, 156618, 156849, 157080, 157311, 157542, 157773, 158004, 158235, 158466, 158697, 158928, 159159, 159390, 159621, 159852, 160083, 160314, 160545, 160776, 161007, 161238, 161469, 161700, 161931, 162162, 162393, 162624, 162855, 163086, 163317, 163548, 163779, 164010, 164241, 164472, 164703, 164934, 165165, 165396, 165627, 165858, 166089, 166320, 166551, 166782, 167013, 167244, 167475, 167706, 167937, 168168, 168399, 168630, 168861, 169092, 169323, 169554, 169785, 170016, 170247, 170478, 170709, 170940, 171171, 171402, 171633, 171864, 172095, 172326, 172557, 172788, 173019, 173250, 173481, 173712, 173943, 174174, 174405, 174636, 174867, 175098, 175329, 175560, 175791, 176022, 176253, 176484, 176715, 176946, 177177, 177408, 177639, 177870, 178101, 178332, 178563, 178794, 179025, 179256, 179487, 179718, 179949, 180180, 180411, 180642, 180873, 181104, 181335, 181566, 181797, 182028, 182259, 182490, 182721, 182952, 183183, 183414, 183645, 183876, 184107, 184338, 184569, 184800, 185031, 185262, 185493, 185724, 185955, 186186, 186417, 186648, 186879, 187110, 187341, 187572, 187803, 188034, 188265, 188496, 188727, 188958, 189189, 189420, 189651, 189882, 190113, 190344, 190575, 190806, 191037, 191268, 191499, 191730, 191961, 192192, 192423, 192654, 192885, 193116, 193347, 193578, 193809, 194040, 194271, 194502, 194733, 194964, 195195, 195426, 195657, 195888, 196119, 196350, 196581, 196812, 197043, 197274, 197505, 197736, 197967, 198198, 198429, 198660, 198891, 199122, 199353, 199584, 199815, 200046, 200277, 200508, 200739, 200970, 201201, 201432, 201663, 201894, 202125, 202356, 202587, 202818, 203049, 203280, 203511, 203742, 203973, 204204, 204435, 204666, 204897, 205128, 205359, 205590, 205821, 206052, 206283, 206514, 206745, 206976, 207207, 207438, 207669, 207900, 208131, 208362, 208593, 208824, 209055, 209286, 209517, 209748, 209979, 210210, 210441, 210672, 210903, 211134, 211365, 211596, 211827, 212058, 212289, 212520, 212751, 212982, 213213, 213444, 213675, 213906, 214137, 214368, 214599, 214830, 215061, 215292, 215523, 215754, 215985, 216216, 216447, 216678, 216909, 217140, 217371, 217602, 217833, 218064, 218295, 218526, 218757, 218988, 219219, 219450, 219681, 219912, 220143, 220374, 220605, 220836, 221067, 221298, 221529, 221760, 221991, 222222, 222453, 222684, 222915, 223146, 223377, 223608, 223839, 224070, 224301, 224532, 224763, 224994, 225225, 225456, 225687, 225918, 226149, 226380, 226611, 226842, 227073, 227304, 227535, 227766, 227997, 228228, 228459, 228690, 228921, 229152, 229383, 229614, 229845, 230076, 230307, 230538, 230769, 231000, 231231, 231462, 231693, 231924, 232155, 232386, 232617, 232848, 233079, 233310, 233541, 233772, 234003, 234234, 234465, 234696, 234927, 235158, 235389, 235620, 235851, 236082, 236313, 236544, 236775, 237006, 237237, 237468, 237699, 237930, 238161, 238392, 238623, 238854, 239085, 239316, 239547, 239778, 240009, 240240, 240471, 240702, 240933, 241164, 241395, 241626, 241857, 242088, 242319, 242550, 242781, 243012, 243243, 243474, 243705, 243936, 244167, 244398, 244629, 244860, 245091, 245322, 245553, 245784, 246015, 246246, 246477, 246708, 246939, 247170, 247401, 247632, 247863, 248094, 248325, 248556, 248787, 249018, 249249, 249480, 249711, 249942, 250173, 250404, 250635, 250866, 251097, 251328, 251559

Hence, LCM of 1089 and 231 is 7623.

Steps to find LCM of 1089 and 231 by Common Division Method

Example: Find lcm of 1089 and 231 by Common Division Method

3 1089 231
3 363 77
7 121 77
11 121 11
11 11 1
1 1

Hence, LCM of 1089 and 231 is 3 x 3 x 7 x 11 x 11 = 7623.

Steps to find lcm of 1089 and 231 by Formula

Example: Find lcm of 1089 and 231 by Formula

  • GCF of 1089 and 231 = 33
  • LCM of 1089 and 231 = (1089 x 231) / 33
  • => 251559 / 33

Hence, LCM of 1089 and 231 is 7623.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 1089 and 231 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 1089 and 231 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 1089 and 231.
So, LCM of 1089 and 231 is 7623.

A shopkeeper sells candies in packet of 1089 and chocolates in packet of 231. 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 1089 and 231.
So, LCM of 1089 and 231 is 7623.

Boxes that are 1089 inches tall are being pilled next to boxes that are 231 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 1089 and 231.
So, LCM of 1089 and 231 is 7623.

Sammy's company prints 1089 textbooks at a time. Daniel's company prints textbooks in sets of 231 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 1089 and 231.
So, LCM of 1089 and 231 is 7623.

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

Greatest common factors or gcf of 1089 and 231 is GCF(1089, 231) * LCM(1089, 231) = (1089 x 231) / GCF(1089, 231) = 7623.

Find the least number which is exactly divisible by 1089 and 231.

Least number which is exactly divisible by 1089 and 231 is 7623.

Find the LCM of 1089 and 231 using GCF method.

Greatest common factor or gcf of 1089 and 231 is GCF(1089, 231) x LCM(1089, 231) = (1089 x 231) / GCF(1089, 231) = 7623.