What is LCM of 196 and 484?


What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 196 and 484.

Properties of LCM

  • The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 196 and 484 is 23716, where 196 and 484 are less than 23716.
  • LCM is associative which means LCM(196, 484) = LCM(484, 196).
  • 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 196 and 484 by Listing Method

Example: Find lcm of 196 and 484 by Listing Method

  • Multiples of 196: 196, 392, 588, 784, 980, 1176, 1372, 1568, 1764, 1960, 2156, 2352, 2548, 2744, 2940, 3136, 3332, 3528, 3724, 3920, 4116, 4312, 4508, 4704, 4900, 5096, 5292, 5488, 5684, 5880, 6076, 6272, 6468, 6664, 6860, 7056, 7252, 7448, 7644, 7840, 8036, 8232, 8428, 8624, 8820, 9016, 9212, 9408, 9604, 9800, 9996, 10192, 10388, 10584, 10780, 10976, 11172, 11368, 11564, 11760, 11956, 12152, 12348, 12544, 12740, 12936, 13132, 13328, 13524, 13720, 13916, 14112, 14308, 14504, 14700, 14896, 15092, 15288, 15484, 15680, 15876, 16072, 16268, 16464, 16660, 16856, 17052, 17248, 17444, 17640, 17836, 18032, 18228, 18424, 18620, 18816, 19012, 19208, 19404, 19600, 19796, 19992, 20188, 20384, 20580, 20776, 20972, 21168, 21364, 21560, 21756, 21952, 22148, 22344, 22540, 22736, 22932, 23128, 23324, 23520, 23716, 23912, 24108, 24304, 24500, 24696, 24892, 25088, 25284, 25480, 25676, 25872, 26068, 26264, 26460, 26656, 26852, 27048, 27244, 27440, 27636, 27832, 28028, 28224, 28420, 28616, 28812, 29008, 29204, 29400, 29596, 29792, 29988, 30184, 30380, 30576, 30772, 30968, 31164, 31360, 31556, 31752, 31948, 32144, 32340, 32536, 32732, 32928, 33124, 33320, 33516, 33712, 33908, 34104, 34300, 34496, 34692, 34888, 35084, 35280, 35476, 35672, 35868, 36064, 36260, 36456, 36652, 36848, 37044, 37240, 37436, 37632, 37828, 38024, 38220, 38416, 38612, 38808, 39004, 39200, 39396, 39592, 39788, 39984, 40180, 40376, 40572, 40768, 40964, 41160, 41356, 41552, 41748, 41944, 42140, 42336, 42532, 42728, 42924, 43120, 43316, 43512, 43708, 43904, 44100, 44296, 44492, 44688, 44884, 45080, 45276, 45472, 45668, 45864, 46060, 46256, 46452, 46648, 46844, 47040, 47236, 47432, 47628, 47824, 48020, 48216, 48412, 48608, 48804, 49000, 49196, 49392, 49588, 49784, 49980, 50176, 50372, 50568, 50764, 50960, 51156, 51352, 51548, 51744, 51940, 52136, 52332, 52528, 52724, 52920, 53116, 53312, 53508, 53704, 53900, 54096, 54292, 54488, 54684, 54880, 55076, 55272, 55468, 55664, 55860, 56056, 56252, 56448, 56644, 56840, 57036, 57232, 57428, 57624, 57820, 58016, 58212, 58408, 58604, 58800, 58996, 59192, 59388, 59584, 59780, 59976, 60172, 60368, 60564, 60760, 60956, 61152, 61348, 61544, 61740, 61936, 62132, 62328, 62524, 62720, 62916, 63112, 63308, 63504, 63700, 63896, 64092, 64288, 64484, 64680, 64876, 65072, 65268, 65464, 65660, 65856, 66052, 66248, 66444, 66640, 66836, 67032, 67228, 67424, 67620, 67816, 68012, 68208, 68404, 68600, 68796, 68992, 69188, 69384, 69580, 69776, 69972, 70168, 70364, 70560, 70756, 70952, 71148, 71344, 71540, 71736, 71932, 72128, 72324, 72520, 72716, 72912, 73108, 73304, 73500, 73696, 73892, 74088, 74284, 74480, 74676, 74872, 75068, 75264, 75460, 75656, 75852, 76048, 76244, 76440, 76636, 76832, 77028, 77224, 77420, 77616, 77812, 78008, 78204, 78400, 78596, 78792, 78988, 79184, 79380, 79576, 79772, 79968, 80164, 80360, 80556, 80752, 80948, 81144, 81340, 81536, 81732, 81928, 82124, 82320, 82516, 82712, 82908, 83104, 83300, 83496, 83692, 83888, 84084, 84280, 84476, 84672, 84868, 85064, 85260, 85456, 85652, 85848, 86044, 86240, 86436, 86632, 86828, 87024, 87220, 87416, 87612, 87808, 88004, 88200, 88396, 88592, 88788, 88984, 89180, 89376, 89572, 89768, 89964, 90160, 90356, 90552, 90748, 90944, 91140, 91336, 91532, 91728, 91924, 92120, 92316, 92512, 92708, 92904, 93100, 93296, 93492, 93688, 93884, 94080, 94276, 94472, 94668, 94864
  • Multiples of 484: 484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840, 5324, 5808, 6292, 6776, 7260, 7744, 8228, 8712, 9196, 9680, 10164, 10648, 11132, 11616, 12100, 12584, 13068, 13552, 14036, 14520, 15004, 15488, 15972, 16456, 16940, 17424, 17908, 18392, 18876, 19360, 19844, 20328, 20812, 21296, 21780, 22264, 22748, 23232, 23716, 24200, 24684, 25168, 25652, 26136, 26620, 27104, 27588, 28072, 28556, 29040, 29524, 30008, 30492, 30976, 31460, 31944, 32428, 32912, 33396, 33880, 34364, 34848, 35332, 35816, 36300, 36784, 37268, 37752, 38236, 38720, 39204, 39688, 40172, 40656, 41140, 41624, 42108, 42592, 43076, 43560, 44044, 44528, 45012, 45496, 45980, 46464, 46948, 47432, 47916, 48400, 48884, 49368, 49852, 50336, 50820, 51304, 51788, 52272, 52756, 53240, 53724, 54208, 54692, 55176, 55660, 56144, 56628, 57112, 57596, 58080, 58564, 59048, 59532, 60016, 60500, 60984, 61468, 61952, 62436, 62920, 63404, 63888, 64372, 64856, 65340, 65824, 66308, 66792, 67276, 67760, 68244, 68728, 69212, 69696, 70180, 70664, 71148, 71632, 72116, 72600, 73084, 73568, 74052, 74536, 75020, 75504, 75988, 76472, 76956, 77440, 77924, 78408, 78892, 79376, 79860, 80344, 80828, 81312, 81796, 82280, 82764, 83248, 83732, 84216, 84700, 85184, 85668, 86152, 86636, 87120, 87604, 88088, 88572, 89056, 89540, 90024, 90508, 90992, 91476, 91960, 92444, 92928, 93412, 93896, 94380, 94864

Hence, LCM of 196 and 484 is 23716.

Steps to find LCM of 196 and 484 by Common Division Method

Example: Find lcm of 196 and 484 by Common Division Method

2 196 484
2 98 242
7 49 121
7 7 121
11 1 121
11 1 11
1 1

Hence, LCM of 196 and 484 is 2 x 2 x 7 x 7 x 11 x 11 = 23716.

Steps to find lcm of 196 and 484 by Formula

Example: Find lcm of 196 and 484 by Formula

  • GCF of 196 and 484 = 4
  • LCM of 196 and 484 = (196 x 484) / 4
  • => 94864 / 4

Hence, LCM of 196 and 484 is 23716.

Examples

Ram and Deepika are running on a circular track. They start at the same time. They take 196 and 484 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 196 and 484 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 196 and 484.
So, LCM of 196 and 484 is 23716.

A shopkeeper sells candies in packet of 196 and chocolates in packet of 484. 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 196 and 484.
So, LCM of 196 and 484 is 23716.

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

Greatest common factors or gcf of 196 and 484 is GCF(196, 484) * LCM(196, 484) = (196 x 484) / GCF(196, 484) = 23716.

Sammy's company prints 196 textbooks at a time. Daniel's company prints textbooks in sets of 484 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 196 and 484.
So, LCM of 196 and 484 is 23716.

Mary exercises every 196 days and Nikki every 484 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 196 and 484 is 23716.

Find the least common multiple of 196 and 484.

Least common multiple of 196 and 484 is 23716.

Find the least number which is exactly divisible by 196 and 484.

Least number which is exactly divisible by 196 and 484 is 23716.