What is LCM of 184 and 594?


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 184 and 594.

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 184 and 594 is 54648, where 184 and 594 are less than 54648.
  • LCM is associative which means LCM(184, 594) = LCM(594, 184).
  • 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 184 and 594 by Listing Method

Example: Find lcm of 184 and 594 by Listing Method

  • Multiples of 184: 184, 368, 552, 736, 920, 1104, 1288, 1472, 1656, 1840, 2024, 2208, 2392, 2576, 2760, 2944, 3128, 3312, 3496, 3680, 3864, 4048, 4232, 4416, 4600, 4784, 4968, 5152, 5336, 5520, 5704, 5888, 6072, 6256, 6440, 6624, 6808, 6992, 7176, 7360, 7544, 7728, 7912, 8096, 8280, 8464, 8648, 8832, 9016, 9200, 9384, 9568, 9752, 9936, 10120, 10304, 10488, 10672, 10856, 11040, 11224, 11408, 11592, 11776, 11960, 12144, 12328, 12512, 12696, 12880, 13064, 13248, 13432, 13616, 13800, 13984, 14168, 14352, 14536, 14720, 14904, 15088, 15272, 15456, 15640, 15824, 16008, 16192, 16376, 16560, 16744, 16928, 17112, 17296, 17480, 17664, 17848, 18032, 18216, 18400, 18584, 18768, 18952, 19136, 19320, 19504, 19688, 19872, 20056, 20240, 20424, 20608, 20792, 20976, 21160, 21344, 21528, 21712, 21896, 22080, 22264, 22448, 22632, 22816, 23000, 23184, 23368, 23552, 23736, 23920, 24104, 24288, 24472, 24656, 24840, 25024, 25208, 25392, 25576, 25760, 25944, 26128, 26312, 26496, 26680, 26864, 27048, 27232, 27416, 27600, 27784, 27968, 28152, 28336, 28520, 28704, 28888, 29072, 29256, 29440, 29624, 29808, 29992, 30176, 30360, 30544, 30728, 30912, 31096, 31280, 31464, 31648, 31832, 32016, 32200, 32384, 32568, 32752, 32936, 33120, 33304, 33488, 33672, 33856, 34040, 34224, 34408, 34592, 34776, 34960, 35144, 35328, 35512, 35696, 35880, 36064, 36248, 36432, 36616, 36800, 36984, 37168, 37352, 37536, 37720, 37904, 38088, 38272, 38456, 38640, 38824, 39008, 39192, 39376, 39560, 39744, 39928, 40112, 40296, 40480, 40664, 40848, 41032, 41216, 41400, 41584, 41768, 41952, 42136, 42320, 42504, 42688, 42872, 43056, 43240, 43424, 43608, 43792, 43976, 44160, 44344, 44528, 44712, 44896, 45080, 45264, 45448, 45632, 45816, 46000, 46184, 46368, 46552, 46736, 46920, 47104, 47288, 47472, 47656, 47840, 48024, 48208, 48392, 48576, 48760, 48944, 49128, 49312, 49496, 49680, 49864, 50048, 50232, 50416, 50600, 50784, 50968, 51152, 51336, 51520, 51704, 51888, 52072, 52256, 52440, 52624, 52808, 52992, 53176, 53360, 53544, 53728, 53912, 54096, 54280, 54464, 54648, 54832, 55016, 55200, 55384, 55568, 55752, 55936, 56120, 56304, 56488, 56672, 56856, 57040, 57224, 57408, 57592, 57776, 57960, 58144, 58328, 58512, 58696, 58880, 59064, 59248, 59432, 59616, 59800, 59984, 60168, 60352, 60536, 60720, 60904, 61088, 61272, 61456, 61640, 61824, 62008, 62192, 62376, 62560, 62744, 62928, 63112, 63296, 63480, 63664, 63848, 64032, 64216, 64400, 64584, 64768, 64952, 65136, 65320, 65504, 65688, 65872, 66056, 66240, 66424, 66608, 66792, 66976, 67160, 67344, 67528, 67712, 67896, 68080, 68264, 68448, 68632, 68816, 69000, 69184, 69368, 69552, 69736, 69920, 70104, 70288, 70472, 70656, 70840, 71024, 71208, 71392, 71576, 71760, 71944, 72128, 72312, 72496, 72680, 72864, 73048, 73232, 73416, 73600, 73784, 73968, 74152, 74336, 74520, 74704, 74888, 75072, 75256, 75440, 75624, 75808, 75992, 76176, 76360, 76544, 76728, 76912, 77096, 77280, 77464, 77648, 77832, 78016, 78200, 78384, 78568, 78752, 78936, 79120, 79304, 79488, 79672, 79856, 80040, 80224, 80408, 80592, 80776, 80960, 81144, 81328, 81512, 81696, 81880, 82064, 82248, 82432, 82616, 82800, 82984, 83168, 83352, 83536, 83720, 83904, 84088, 84272, 84456, 84640, 84824, 85008, 85192, 85376, 85560, 85744, 85928, 86112, 86296, 86480, 86664, 86848, 87032, 87216, 87400, 87584, 87768, 87952, 88136, 88320, 88504, 88688, 88872, 89056, 89240, 89424, 89608, 89792, 89976, 90160, 90344, 90528, 90712, 90896, 91080, 91264, 91448, 91632, 91816, 92000, 92184, 92368, 92552, 92736, 92920, 93104, 93288, 93472, 93656, 93840, 94024, 94208, 94392, 94576, 94760, 94944, 95128, 95312, 95496, 95680, 95864, 96048, 96232, 96416, 96600, 96784, 96968, 97152, 97336, 97520, 97704, 97888, 98072, 98256, 98440, 98624, 98808, 98992, 99176, 99360, 99544, 99728, 99912, 100096, 100280, 100464, 100648, 100832, 101016, 101200, 101384, 101568, 101752, 101936, 102120, 102304, 102488, 102672, 102856, 103040, 103224, 103408, 103592, 103776, 103960, 104144, 104328, 104512, 104696, 104880, 105064, 105248, 105432, 105616, 105800, 105984, 106168, 106352, 106536, 106720, 106904, 107088, 107272, 107456, 107640, 107824, 108008, 108192, 108376, 108560, 108744, 108928, 109112, 109296
  • Multiples of 594: 594, 1188, 1782, 2376, 2970, 3564, 4158, 4752, 5346, 5940, 6534, 7128, 7722, 8316, 8910, 9504, 10098, 10692, 11286, 11880, 12474, 13068, 13662, 14256, 14850, 15444, 16038, 16632, 17226, 17820, 18414, 19008, 19602, 20196, 20790, 21384, 21978, 22572, 23166, 23760, 24354, 24948, 25542, 26136, 26730, 27324, 27918, 28512, 29106, 29700, 30294, 30888, 31482, 32076, 32670, 33264, 33858, 34452, 35046, 35640, 36234, 36828, 37422, 38016, 38610, 39204, 39798, 40392, 40986, 41580, 42174, 42768, 43362, 43956, 44550, 45144, 45738, 46332, 46926, 47520, 48114, 48708, 49302, 49896, 50490, 51084, 51678, 52272, 52866, 53460, 54054, 54648, 55242, 55836, 56430, 57024, 57618, 58212, 58806, 59400, 59994, 60588, 61182, 61776, 62370, 62964, 63558, 64152, 64746, 65340, 65934, 66528, 67122, 67716, 68310, 68904, 69498, 70092, 70686, 71280, 71874, 72468, 73062, 73656, 74250, 74844, 75438, 76032, 76626, 77220, 77814, 78408, 79002, 79596, 80190, 80784, 81378, 81972, 82566, 83160, 83754, 84348, 84942, 85536, 86130, 86724, 87318, 87912, 88506, 89100, 89694, 90288, 90882, 91476, 92070, 92664, 93258, 93852, 94446, 95040, 95634, 96228, 96822, 97416, 98010, 98604, 99198, 99792, 100386, 100980, 101574, 102168, 102762, 103356, 103950, 104544, 105138, 105732, 106326, 106920, 107514, 108108, 108702, 109296

Hence, LCM of 184 and 594 is 54648.

Steps to find LCM of 184 and 594 by Common Division Method

Example: Find lcm of 184 and 594 by Common Division Method

2 184 594
2 92 297
2 46 297
3 23 297
3 23 99
3 23 33
11 23 11
23 23 1
1 1

Hence, LCM of 184 and 594 is 2 x 2 x 2 x 3 x 3 x 3 x 11 x 23 = 54648.

Steps to find lcm of 184 and 594 by Formula

Example: Find lcm of 184 and 594 by Formula

  • GCF of 184 and 594 = 2
  • LCM of 184 and 594 = (184 x 594) / 2
  • => 109296 / 2

Hence, LCM of 184 and 594 is 54648.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 184 and 594 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 184 and 594 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 184 and 594.
So, LCM of 184 and 594 is 54648.

A shopkeeper sells candies in packet of 184 and chocolates in packet of 594. 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 184 and 594.
So, LCM of 184 and 594 is 54648.

Both the cricket team and the rugby team had games, today. The cricket team plays every 184 days and the basketball team plays every 594 days. When will both teams have games on the same day again?

Given that the cricket team plays every 184 days and the basketball team plays every 594 days, so for finding the next time when both teams will play again we need to find the LCM of 184 and 594.
So, LCM of 184 and 594 is 54648.

Sammy's company prints 184 textbooks at a time. Daniel's company prints textbooks in sets of 594 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 184 and 594.
So, LCM of 184 and 594 is 54648.

Ariel exercises every 184 days and Rubel every 594 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 184 and 594 is 54648.

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

Greatest common factors or gcf of 184 and 594 is GCF(184, 594) * LCM(184, 594) = (184 x 594) / GCF(184, 594) = 54648.

Find the least number which is exactly divisible by 184 and 594.

Least number which is exactly divisible by 184 and 594 is 54648.