What is LCM of 297 and 1089?


How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 297 and 1089

Properties of LCM

  • The LCM of two or more prime numbers is exactly equal to their product.
  • LCM is associative which means LCM(297, 1089) = LCM(1089, 297).
  • 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 297 and 1089 is 3267, where 3267 is greater than 297 and 1089.

Steps to find lcm of 297 and 1089 by Listing Method

Example: Find lcm of 297 and 1089 by Listing Method

  • Multiples of 297: 297, 594, 891, 1188, 1485, 1782, 2079, 2376, 2673, 2970, 3267, 3564, 3861, 4158, 4455, 4752, 5049, 5346, 5643, 5940, 6237, 6534, 6831, 7128, 7425, 7722, 8019, 8316, 8613, 8910, 9207, 9504, 9801, 10098, 10395, 10692, 10989, 11286, 11583, 11880, 12177, 12474, 12771, 13068, 13365, 13662, 13959, 14256, 14553, 14850, 15147, 15444, 15741, 16038, 16335, 16632, 16929, 17226, 17523, 17820, 18117, 18414, 18711, 19008, 19305, 19602, 19899, 20196, 20493, 20790, 21087, 21384, 21681, 21978, 22275, 22572, 22869, 23166, 23463, 23760, 24057, 24354, 24651, 24948, 25245, 25542, 25839, 26136, 26433, 26730, 27027, 27324, 27621, 27918, 28215, 28512, 28809, 29106, 29403, 29700, 29997, 30294, 30591, 30888, 31185, 31482, 31779, 32076, 32373, 32670, 32967, 33264, 33561, 33858, 34155, 34452, 34749, 35046, 35343, 35640, 35937, 36234, 36531, 36828, 37125, 37422, 37719, 38016, 38313, 38610, 38907, 39204, 39501, 39798, 40095, 40392, 40689, 40986, 41283, 41580, 41877, 42174, 42471, 42768, 43065, 43362, 43659, 43956, 44253, 44550, 44847, 45144, 45441, 45738, 46035, 46332, 46629, 46926, 47223, 47520, 47817, 48114, 48411, 48708, 49005, 49302, 49599, 49896, 50193, 50490, 50787, 51084, 51381, 51678, 51975, 52272, 52569, 52866, 53163, 53460, 53757, 54054, 54351, 54648, 54945, 55242, 55539, 55836, 56133, 56430, 56727, 57024, 57321, 57618, 57915, 58212, 58509, 58806, 59103, 59400, 59697, 59994, 60291, 60588, 60885, 61182, 61479, 61776, 62073, 62370, 62667, 62964, 63261, 63558, 63855, 64152, 64449, 64746, 65043, 65340, 65637, 65934, 66231, 66528, 66825, 67122, 67419, 67716, 68013, 68310, 68607, 68904, 69201, 69498, 69795, 70092, 70389, 70686, 70983, 71280, 71577, 71874, 72171, 72468, 72765, 73062, 73359, 73656, 73953, 74250, 74547, 74844, 75141, 75438, 75735, 76032, 76329, 76626, 76923, 77220, 77517, 77814, 78111, 78408, 78705, 79002, 79299, 79596, 79893, 80190, 80487, 80784, 81081, 81378, 81675, 81972, 82269, 82566, 82863, 83160, 83457, 83754, 84051, 84348, 84645, 84942, 85239, 85536, 85833, 86130, 86427, 86724, 87021, 87318, 87615, 87912, 88209, 88506, 88803, 89100, 89397, 89694, 89991, 90288, 90585, 90882, 91179, 91476, 91773, 92070, 92367, 92664, 92961, 93258, 93555, 93852, 94149, 94446, 94743, 95040, 95337, 95634, 95931, 96228, 96525, 96822, 97119, 97416, 97713, 98010, 98307, 98604, 98901, 99198, 99495, 99792, 100089, 100386, 100683, 100980, 101277, 101574, 101871, 102168, 102465, 102762, 103059, 103356, 103653, 103950, 104247, 104544, 104841, 105138, 105435, 105732, 106029, 106326, 106623, 106920, 107217, 107514, 107811, 108108, 108405, 108702, 108999, 109296, 109593, 109890, 110187, 110484, 110781, 111078, 111375, 111672, 111969, 112266, 112563, 112860, 113157, 113454, 113751, 114048, 114345, 114642, 114939, 115236, 115533, 115830, 116127, 116424, 116721, 117018, 117315, 117612, 117909, 118206, 118503, 118800, 119097, 119394, 119691, 119988, 120285, 120582, 120879, 121176, 121473, 121770, 122067, 122364, 122661, 122958, 123255, 123552, 123849, 124146, 124443, 124740, 125037, 125334, 125631, 125928, 126225, 126522, 126819, 127116, 127413, 127710, 128007, 128304, 128601, 128898, 129195, 129492, 129789, 130086, 130383, 130680, 130977, 131274, 131571, 131868, 132165, 132462, 132759, 133056, 133353, 133650, 133947, 134244, 134541, 134838, 135135, 135432, 135729, 136026, 136323, 136620, 136917, 137214, 137511, 137808, 138105, 138402, 138699, 138996, 139293, 139590, 139887, 140184, 140481, 140778, 141075, 141372, 141669, 141966, 142263, 142560, 142857, 143154, 143451, 143748, 144045, 144342, 144639, 144936, 145233, 145530, 145827, 146124, 146421, 146718, 147015, 147312, 147609, 147906, 148203, 148500, 148797, 149094, 149391, 149688, 149985, 150282, 150579, 150876, 151173, 151470, 151767, 152064, 152361, 152658, 152955, 153252, 153549, 153846, 154143, 154440, 154737, 155034, 155331, 155628, 155925, 156222, 156519, 156816, 157113, 157410, 157707, 158004, 158301, 158598, 158895, 159192, 159489, 159786, 160083, 160380, 160677, 160974, 161271, 161568, 161865, 162162, 162459, 162756, 163053, 163350, 163647, 163944, 164241, 164538, 164835, 165132, 165429, 165726, 166023, 166320, 166617, 166914, 167211, 167508, 167805, 168102, 168399, 168696, 168993, 169290, 169587, 169884, 170181, 170478, 170775, 171072, 171369, 171666, 171963, 172260, 172557, 172854, 173151, 173448, 173745, 174042, 174339, 174636, 174933, 175230, 175527, 175824, 176121, 176418, 176715, 177012, 177309, 177606, 177903, 178200, 178497, 178794, 179091, 179388, 179685, 179982, 180279, 180576, 180873, 181170, 181467, 181764, 182061, 182358, 182655, 182952, 183249, 183546, 183843, 184140, 184437, 184734, 185031, 185328, 185625, 185922, 186219, 186516, 186813, 187110, 187407, 187704, 188001, 188298, 188595, 188892, 189189, 189486, 189783, 190080, 190377, 190674, 190971, 191268, 191565, 191862, 192159, 192456, 192753, 193050, 193347, 193644, 193941, 194238, 194535, 194832, 195129, 195426, 195723, 196020, 196317, 196614, 196911, 197208, 197505, 197802, 198099, 198396, 198693, 198990, 199287, 199584, 199881, 200178, 200475, 200772, 201069, 201366, 201663, 201960, 202257, 202554, 202851, 203148, 203445, 203742, 204039, 204336, 204633, 204930, 205227, 205524, 205821, 206118, 206415, 206712, 207009, 207306, 207603, 207900, 208197, 208494, 208791, 209088, 209385, 209682, 209979, 210276, 210573, 210870, 211167, 211464, 211761, 212058, 212355, 212652, 212949, 213246, 213543, 213840, 214137, 214434, 214731, 215028, 215325, 215622, 215919, 216216, 216513, 216810, 217107, 217404, 217701, 217998, 218295, 218592, 218889, 219186, 219483, 219780, 220077, 220374, 220671, 220968, 221265, 221562, 221859, 222156, 222453, 222750, 223047, 223344, 223641, 223938, 224235, 224532, 224829, 225126, 225423, 225720, 226017, 226314, 226611, 226908, 227205, 227502, 227799, 228096, 228393, 228690, 228987, 229284, 229581, 229878, 230175, 230472, 230769, 231066, 231363, 231660, 231957, 232254, 232551, 232848, 233145, 233442, 233739, 234036, 234333, 234630, 234927, 235224, 235521, 235818, 236115, 236412, 236709, 237006, 237303, 237600, 237897, 238194, 238491, 238788, 239085, 239382, 239679, 239976, 240273, 240570, 240867, 241164, 241461, 241758, 242055, 242352, 242649, 242946, 243243, 243540, 243837, 244134, 244431, 244728, 245025, 245322, 245619, 245916, 246213, 246510, 246807, 247104, 247401, 247698, 247995, 248292, 248589, 248886, 249183, 249480, 249777, 250074, 250371, 250668, 250965, 251262, 251559, 251856, 252153, 252450, 252747, 253044, 253341, 253638, 253935, 254232, 254529, 254826, 255123, 255420, 255717, 256014, 256311, 256608, 256905, 257202, 257499, 257796, 258093, 258390, 258687, 258984, 259281, 259578, 259875, 260172, 260469, 260766, 261063, 261360, 261657, 261954, 262251, 262548, 262845, 263142, 263439, 263736, 264033, 264330, 264627, 264924, 265221, 265518, 265815, 266112, 266409, 266706, 267003, 267300, 267597, 267894, 268191, 268488, 268785, 269082, 269379, 269676, 269973, 270270, 270567, 270864, 271161, 271458, 271755, 272052, 272349, 272646, 272943, 273240, 273537, 273834, 274131, 274428, 274725, 275022, 275319, 275616, 275913, 276210, 276507, 276804, 277101, 277398, 277695, 277992, 278289, 278586, 278883, 279180, 279477, 279774, 280071, 280368, 280665, 280962, 281259, 281556, 281853, 282150, 282447, 282744, 283041, 283338, 283635, 283932, 284229, 284526, 284823, 285120, 285417, 285714, 286011, 286308, 286605, 286902, 287199, 287496, 287793, 288090, 288387, 288684, 288981, 289278, 289575, 289872, 290169, 290466, 290763, 291060, 291357, 291654, 291951, 292248, 292545, 292842, 293139, 293436, 293733, 294030, 294327, 294624, 294921, 295218, 295515, 295812, 296109, 296406, 296703, 297000, 297297, 297594, 297891, 298188, 298485, 298782, 299079, 299376, 299673, 299970, 300267, 300564, 300861, 301158, 301455, 301752, 302049, 302346, 302643, 302940, 303237, 303534, 303831, 304128, 304425, 304722, 305019, 305316, 305613, 305910, 306207, 306504, 306801, 307098, 307395, 307692, 307989, 308286, 308583, 308880, 309177, 309474, 309771, 310068, 310365, 310662, 310959, 311256, 311553, 311850, 312147, 312444, 312741, 313038, 313335, 313632, 313929, 314226, 314523, 314820, 315117, 315414, 315711, 316008, 316305, 316602, 316899, 317196, 317493, 317790, 318087, 318384, 318681, 318978, 319275, 319572, 319869, 320166, 320463, 320760, 321057, 321354, 321651, 321948, 322245, 322542, 322839, 323136, 323433
  • 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, 265716, 266805, 267894, 268983, 270072, 271161, 272250, 273339, 274428, 275517, 276606, 277695, 278784, 279873, 280962, 282051, 283140, 284229, 285318, 286407, 287496, 288585, 289674, 290763, 291852, 292941, 294030, 295119, 296208, 297297, 298386, 299475, 300564, 301653, 302742, 303831, 304920, 306009, 307098, 308187, 309276, 310365, 311454, 312543, 313632, 314721, 315810, 316899, 317988, 319077, 320166, 321255, 322344, 323433

Hence, LCM of 297 and 1089 is 3267.

Steps to find LCM of 297 and 1089 by Common Division Method

Example: Find lcm of 297 and 1089 by Common Division Method

3 297 1089
3 99 363
3 33 121
11 11 121
11 1 11
1 1

Hence, LCM of 297 and 1089 is 3 x 3 x 3 x 11 x 11 = 3267.

Steps to find lcm of 297 and 1089 by Formula

Example: Find lcm of 297 and 1089 by Formula

  • GCF of 297 and 1089 = 99
  • LCM of 297 and 1089 = (297 x 1089) / 99
  • => 323433 / 99

Hence, LCM of 297 and 1089 is 3267.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 297 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 297 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 297 and 1089.
So, LCM of 297 and 1089 is 3267.

A shopkeeper sells candies in packet of 297 and chocolates in packet of 1089. 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 297 and 1089.
So, LCM of 297 and 1089 is 3267.

Boxes that are 297 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 297 and 1089.
So, LCM of 297 and 1089 is 3267.

Sammy's company prints 297 textbooks at a time. Daniel's company prints textbooks in sets of 1089 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 297 and 1089.
So, LCM of 297 and 1089 is 3267.

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

Greatest common factors or gcf of 297 and 1089 is GCF(297, 1089) * LCM(297, 1089) = (297 x 1089) / GCF(297, 1089) = 3267.

Find the least number which is exactly divisible by 297 and 1089.

Least number which is exactly divisible by 297 and 1089 is 3267.

Find the LCM of 297 and 1089 using GCF method.

Greatest common factor or gcf of 297 and 1089 is GCF(297, 1089) x LCM(297, 1089) = (297 x 1089) / GCF(297, 1089) = 3267.