What is LCM of 299 and 391?


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 299 and 391.

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 299 and 391 is 5083, where 299 and 391 are less than 5083.
  • 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(299, 391) = LCM(391, 299).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 299 and 391 by Listing Method

Example: Find lcm of 299 and 391 by Listing Method

  • Multiples of 299: 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2691, 2990, 3289, 3588, 3887, 4186, 4485, 4784, 5083, 5382, 5681, 5980, 6279, 6578, 6877, 7176, 7475, 7774, 8073, 8372, 8671, 8970, 9269, 9568, 9867, 10166, 10465, 10764, 11063, 11362, 11661, 11960, 12259, 12558, 12857, 13156, 13455, 13754, 14053, 14352, 14651, 14950, 15249, 15548, 15847, 16146, 16445, 16744, 17043, 17342, 17641, 17940, 18239, 18538, 18837, 19136, 19435, 19734, 20033, 20332, 20631, 20930, 21229, 21528, 21827, 22126, 22425, 22724, 23023, 23322, 23621, 23920, 24219, 24518, 24817, 25116, 25415, 25714, 26013, 26312, 26611, 26910, 27209, 27508, 27807, 28106, 28405, 28704, 29003, 29302, 29601, 29900, 30199, 30498, 30797, 31096, 31395, 31694, 31993, 32292, 32591, 32890, 33189, 33488, 33787, 34086, 34385, 34684, 34983, 35282, 35581, 35880, 36179, 36478, 36777, 37076, 37375, 37674, 37973, 38272, 38571, 38870, 39169, 39468, 39767, 40066, 40365, 40664, 40963, 41262, 41561, 41860, 42159, 42458, 42757, 43056, 43355, 43654, 43953, 44252, 44551, 44850, 45149, 45448, 45747, 46046, 46345, 46644, 46943, 47242, 47541, 47840, 48139, 48438, 48737, 49036, 49335, 49634, 49933, 50232, 50531, 50830, 51129, 51428, 51727, 52026, 52325, 52624, 52923, 53222, 53521, 53820, 54119, 54418, 54717, 55016, 55315, 55614, 55913, 56212, 56511, 56810, 57109, 57408, 57707, 58006, 58305, 58604, 58903, 59202, 59501, 59800, 60099, 60398, 60697, 60996, 61295, 61594, 61893, 62192, 62491, 62790, 63089, 63388, 63687, 63986, 64285, 64584, 64883, 65182, 65481, 65780, 66079, 66378, 66677, 66976, 67275, 67574, 67873, 68172, 68471, 68770, 69069, 69368, 69667, 69966, 70265, 70564, 70863, 71162, 71461, 71760, 72059, 72358, 72657, 72956, 73255, 73554, 73853, 74152, 74451, 74750, 75049, 75348, 75647, 75946, 76245, 76544, 76843, 77142, 77441, 77740, 78039, 78338, 78637, 78936, 79235, 79534, 79833, 80132, 80431, 80730, 81029, 81328, 81627, 81926, 82225, 82524, 82823, 83122, 83421, 83720, 84019, 84318, 84617, 84916, 85215, 85514, 85813, 86112, 86411, 86710, 87009, 87308, 87607, 87906, 88205, 88504, 88803, 89102, 89401, 89700, 89999, 90298, 90597, 90896, 91195, 91494, 91793, 92092, 92391, 92690, 92989, 93288, 93587, 93886, 94185, 94484, 94783, 95082, 95381, 95680, 95979, 96278, 96577, 96876, 97175, 97474, 97773, 98072, 98371, 98670, 98969, 99268, 99567, 99866, 100165, 100464, 100763, 101062, 101361, 101660, 101959, 102258, 102557, 102856, 103155, 103454, 103753, 104052, 104351, 104650, 104949, 105248, 105547, 105846, 106145, 106444, 106743, 107042, 107341, 107640, 107939, 108238, 108537, 108836, 109135, 109434, 109733, 110032, 110331, 110630, 110929, 111228, 111527, 111826, 112125, 112424, 112723, 113022, 113321, 113620, 113919, 114218, 114517, 114816, 115115, 115414, 115713, 116012, 116311, 116610, 116909
  • Multiples of 391: 391, 782, 1173, 1564, 1955, 2346, 2737, 3128, 3519, 3910, 4301, 4692, 5083, 5474, 5865, 6256, 6647, 7038, 7429, 7820, 8211, 8602, 8993, 9384, 9775, 10166, 10557, 10948, 11339, 11730, 12121, 12512, 12903, 13294, 13685, 14076, 14467, 14858, 15249, 15640, 16031, 16422, 16813, 17204, 17595, 17986, 18377, 18768, 19159, 19550, 19941, 20332, 20723, 21114, 21505, 21896, 22287, 22678, 23069, 23460, 23851, 24242, 24633, 25024, 25415, 25806, 26197, 26588, 26979, 27370, 27761, 28152, 28543, 28934, 29325, 29716, 30107, 30498, 30889, 31280, 31671, 32062, 32453, 32844, 33235, 33626, 34017, 34408, 34799, 35190, 35581, 35972, 36363, 36754, 37145, 37536, 37927, 38318, 38709, 39100, 39491, 39882, 40273, 40664, 41055, 41446, 41837, 42228, 42619, 43010, 43401, 43792, 44183, 44574, 44965, 45356, 45747, 46138, 46529, 46920, 47311, 47702, 48093, 48484, 48875, 49266, 49657, 50048, 50439, 50830, 51221, 51612, 52003, 52394, 52785, 53176, 53567, 53958, 54349, 54740, 55131, 55522, 55913, 56304, 56695, 57086, 57477, 57868, 58259, 58650, 59041, 59432, 59823, 60214, 60605, 60996, 61387, 61778, 62169, 62560, 62951, 63342, 63733, 64124, 64515, 64906, 65297, 65688, 66079, 66470, 66861, 67252, 67643, 68034, 68425, 68816, 69207, 69598, 69989, 70380, 70771, 71162, 71553, 71944, 72335, 72726, 73117, 73508, 73899, 74290, 74681, 75072, 75463, 75854, 76245, 76636, 77027, 77418, 77809, 78200, 78591, 78982, 79373, 79764, 80155, 80546, 80937, 81328, 81719, 82110, 82501, 82892, 83283, 83674, 84065, 84456, 84847, 85238, 85629, 86020, 86411, 86802, 87193, 87584, 87975, 88366, 88757, 89148, 89539, 89930, 90321, 90712, 91103, 91494, 91885, 92276, 92667, 93058, 93449, 93840, 94231, 94622, 95013, 95404, 95795, 96186, 96577, 96968, 97359, 97750, 98141, 98532, 98923, 99314, 99705, 100096, 100487, 100878, 101269, 101660, 102051, 102442, 102833, 103224, 103615, 104006, 104397, 104788, 105179, 105570, 105961, 106352, 106743, 107134, 107525, 107916, 108307, 108698, 109089, 109480, 109871, 110262, 110653, 111044, 111435, 111826, 112217, 112608, 112999, 113390, 113781, 114172, 114563, 114954, 115345, 115736, 116127, 116518, 116909

Hence, LCM of 299 and 391 is 5083.

Steps to find LCM of 299 and 391 by Common Division Method

Example: Find lcm of 299 and 391 by Common Division Method

13 299 391
17 23 391
23 23 23
1 1

Hence, LCM of 299 and 391 is 13 x 17 x 23 = 5083.

Steps to find lcm of 299 and 391 by Formula

Example: Find lcm of 299 and 391 by Formula

  • GCF of 299 and 391 = 23
  • LCM of 299 and 391 = (299 x 391) / 23
  • => 116909 / 23

Hence, LCM of 299 and 391 is 5083.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 299 and 391 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 299 and 391 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 299 and 391.
So, LCM of 299 and 391 is 5083.

Both the cricket team and the rugby team had games, today. The cricket team plays every 299 days and the basketball team plays every 391 days. When will both teams have games on the same day again?

Given that the cricket team plays every 299 days and the basketball team plays every 391 days, so for finding the next time when both teams will play again we need to find the LCM of 299 and 391.
So, LCM of 299 and 391 is 5083.

Steve spends 299 dollars every day while George spends 391 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 299 and 391.
So, LCM of 299 and 391 is 5083.

Boxes that are 299 inches tall are being pilled next to boxes that are 391 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 299 and 391.
So, LCM of 299 and 391 is 5083.

Find the LCM of 299 and 391 using GCF method.

Greatest common factor or gcf of 299 and 391 is GCF(299, 391) x LCM(299, 391) = (299 x 391) / GCF(299, 391) = 5083.

Find the least common multiple of 299 and 391.

Least common multiple of 299 and 391 is 5083.

Find the least number which is exactly divisible by 299 and 391.

Least number which is exactly divisible by 299 and 391 is 5083.