What is the LCM of 118 and 274 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 118 and 274 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(118, 274).

Properties of LCM

LCM follows associative property, that means LCM(118, 274) = LCM(274, 118).
LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 118 and 274 is 16166, where 118 and 274 are less than 16166.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 118 and 274 by Listing Method

Find some first multiples of 118 and 274.
Find the least common multiple, and read off the answer!

Example: Find lcm of 118 and 274 by Listing Method

Multiples of 118: 118, 236, 354, 472, 590, 708, 826, 944, 1062, 1180, 1298, 1416, 1534, 1652, 1770, 1888, 2006, 2124, 2242, 2360, 2478, 2596, 2714, 2832, 2950, 3068, 3186, 3304, 3422, 3540, 3658, 3776, 3894, 4012, 4130, 4248, 4366, 4484, 4602, 4720, 4838, 4956, 5074, 5192, 5310, 5428, 5546, 5664, 5782, 5900, 6018, 6136, 6254, 6372, 6490, 6608, 6726, 6844, 6962, 7080, 7198, 7316, 7434, 7552, 7670, 7788, 7906, 8024, 8142, 8260, 8378, 8496, 8614, 8732, 8850, 8968, 9086, 9204, 9322, 9440, 9558, 9676, 9794, 9912, 10030, 10148, 10266, 10384, 10502, 10620, 10738, 10856, 10974, 11092, 11210, 11328, 11446, 11564, 11682, 11800, 11918, 12036, 12154, 12272, 12390, 12508, 12626, 12744, 12862, 12980, 13098, 13216, 13334, 13452, 13570, 13688, 13806, 13924, 14042, 14160, 14278, 14396, 14514, 14632, 14750, 14868, 14986, 15104, 15222, 15340, 15458, 15576, 15694, 15812, 15930, 16048, 16166, 16284, 16402, 16520, 16638, 16756, 16874, 16992, 17110, 17228, 17346, 17464, 17582, 17700, 17818, 17936, 18054, 18172, 18290, 18408, 18526, 18644, 18762, 18880, 18998, 19116, 19234, 19352, 19470, 19588, 19706, 19824, 19942, 20060, 20178, 20296, 20414, 20532, 20650, 20768, 20886, 21004, 21122, 21240, 21358, 21476, 21594, 21712, 21830, 21948, 22066, 22184, 22302, 22420, 22538, 22656, 22774, 22892, 23010, 23128, 23246, 23364, 23482, 23600, 23718, 23836, 23954, 24072, 24190, 24308, 24426, 24544, 24662, 24780, 24898, 25016, 25134, 25252, 25370, 25488, 25606, 25724, 25842, 25960, 26078, 26196, 26314, 26432, 26550, 26668, 26786, 26904, 27022, 27140, 27258, 27376, 27494, 27612, 27730, 27848, 27966, 28084, 28202, 28320, 28438, 28556, 28674, 28792, 28910, 29028, 29146, 29264, 29382, 29500, 29618, 29736, 29854, 29972, 30090, 30208, 30326, 30444, 30562, 30680, 30798, 30916, 31034, 31152, 31270, 31388, 31506, 31624, 31742, 31860, 31978, 32096, 32214, 32332
Multiples of 274: 274, 548, 822, 1096, 1370, 1644, 1918, 2192, 2466, 2740, 3014, 3288, 3562, 3836, 4110, 4384, 4658, 4932, 5206, 5480, 5754, 6028, 6302, 6576, 6850, 7124, 7398, 7672, 7946, 8220, 8494, 8768, 9042, 9316, 9590, 9864, 10138, 10412, 10686, 10960, 11234, 11508, 11782, 12056, 12330, 12604, 12878, 13152, 13426, 13700, 13974, 14248, 14522, 14796, 15070, 15344, 15618, 15892, 16166, 16440, 16714, 16988, 17262, 17536, 17810, 18084, 18358, 18632, 18906, 19180, 19454, 19728, 20002, 20276, 20550, 20824, 21098, 21372, 21646, 21920, 22194, 22468, 22742, 23016, 23290, 23564, 23838, 24112, 24386, 24660, 24934, 25208, 25482, 25756, 26030, 26304, 26578, 26852, 27126, 27400, 27674, 27948, 28222, 28496, 28770, 29044, 29318, 29592, 29866, 30140, 30414, 30688, 30962, 31236, 31510, 31784, 32058, 32332

Hence, LCM of 118 and 274 is 16166.

Steps to find LCM of 118 and 274 by Common Division Method

Find all the prime numbers that would divide 118 and 274 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 118 and 274 by Common Division Method

2	118 274
59	59 137
137	1 137
	1 1

Hence, LCM of 118 and 274 is 2 x 59 x 137 = 16166.

Steps to find lcm of 118 and 274 by Formula

The formula for LCM is LCM (118, 274) = (118 x 274) / GCF (118, 274)
Apply the formula, and read off the answer!

Example: Find lcm of 118 and 274 by Formula

GCF of 118 and 274 = 2
LCM of 118 and 274 = (118 x 274) / 2
=> 32332 / 2

Hence, LCM of 118 and 274 is 16166.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 118 and 274 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 118 and 274 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 118 and 274.
So, LCM of 118 and 274 is 16166.

A shopkeeper sells candies in packet of 118 and chocolates in packet of 274. 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 118 and 274.
So, LCM of 118 and 274 is 16166.

Both the cricket team and the rugby team had games, today. The cricket team plays every 118 days and the basketball team plays every 274 days. When will both teams have games on the same day again?

Given that the cricket team plays every 118 days and the basketball team plays every 274 days, so for finding the next time when both teams will play again we need to find the LCM of 118 and 274.
So, LCM of 118 and 274 is 16166.

Freddy saves 118 dollars every day while Nikki saves 274 dollars every day. What is the least number of days it will take each person to save the same amount of money?

To find the least number of days that would be taken to be able to save the same amount of dollars we need to find the LCM of 118 and 274.
So, LCM of 118 and 274 is 16166.

Boxes that are 118 inches tall are being pilled next to boxes that are 274 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 118 and 274.
So, LCM of 118 and 274 is 16166.

Sammy's company prints 118 textbooks at a time. Daniel's company prints textbooks in sets of 274 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 118 and 274.
So, LCM of 118 and 274 is 16166.

Ariel exercises every 118 days and Rubel every 274 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 118 and 274 is 16166.

What is LCM of 118 and 274?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 118 and 274 by Listing Method

Example: Find lcm of 118 and 274 by Listing Method

Steps to find LCM of 118 and 274 by Common Division Method

Example: Find lcm of 118 and 274 by Common Division Method

Steps to find lcm of 118 and 274 by Formula

Example: Find lcm of 118 and 274 by Formula

Examples

What is LCM of 118 and 274?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 118 and 274 by Listing Method

Example: Find lcm of 118 and 274 by Listing Method

Steps to find LCM of 118 and 274 by Common Division Method

Example: Find lcm of 118 and 274 by Common Division Method

Steps to find lcm of 118 and 274 by Formula

Example: Find lcm of 118 and 274 by Formula

Examples

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