What is the LCM of 204 and 228 - Find out answer step by step

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 204 and 228.

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 204 and 228 is 3876, where 204 and 228 are less than 3876.
LCM is associative which means LCM(204, 228) = LCM(228, 204).
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 204 and 228 by Listing Method

Find some first multiples of 204 and 228.
Find the least common multiple, and read off the answer!

Example: Find lcm of 204 and 228 by Listing Method

Multiples of 204: 204, 408, 612, 816, 1020, 1224, 1428, 1632, 1836, 2040, 2244, 2448, 2652, 2856, 3060, 3264, 3468, 3672, 3876, 4080, 4284, 4488, 4692, 4896, 5100, 5304, 5508, 5712, 5916, 6120, 6324, 6528, 6732, 6936, 7140, 7344, 7548, 7752, 7956, 8160, 8364, 8568, 8772, 8976, 9180, 9384, 9588, 9792, 9996, 10200, 10404, 10608, 10812, 11016, 11220, 11424, 11628, 11832, 12036, 12240, 12444, 12648, 12852, 13056, 13260, 13464, 13668, 13872, 14076, 14280, 14484, 14688, 14892, 15096, 15300, 15504, 15708, 15912, 16116, 16320, 16524, 16728, 16932, 17136, 17340, 17544, 17748, 17952, 18156, 18360, 18564, 18768, 18972, 19176, 19380, 19584, 19788, 19992, 20196, 20400, 20604, 20808, 21012, 21216, 21420, 21624, 21828, 22032, 22236, 22440, 22644, 22848, 23052, 23256, 23460, 23664, 23868, 24072, 24276, 24480, 24684, 24888, 25092, 25296, 25500, 25704, 25908, 26112, 26316, 26520, 26724, 26928, 27132, 27336, 27540, 27744, 27948, 28152, 28356, 28560, 28764, 28968, 29172, 29376, 29580, 29784, 29988, 30192, 30396, 30600, 30804, 31008, 31212, 31416, 31620, 31824, 32028, 32232, 32436, 32640, 32844, 33048, 33252, 33456, 33660, 33864, 34068, 34272, 34476, 34680, 34884, 35088, 35292, 35496, 35700, 35904, 36108, 36312, 36516, 36720, 36924, 37128, 37332, 37536, 37740, 37944, 38148, 38352, 38556, 38760, 38964, 39168, 39372, 39576, 39780, 39984, 40188, 40392, 40596, 40800, 41004, 41208, 41412, 41616, 41820, 42024, 42228, 42432, 42636, 42840, 43044, 43248, 43452, 43656, 43860, 44064, 44268, 44472, 44676, 44880, 45084, 45288, 45492, 45696, 45900, 46104, 46308, 46512
Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596, 1824, 2052, 2280, 2508, 2736, 2964, 3192, 3420, 3648, 3876, 4104, 4332, 4560, 4788, 5016, 5244, 5472, 5700, 5928, 6156, 6384, 6612, 6840, 7068, 7296, 7524, 7752, 7980, 8208, 8436, 8664, 8892, 9120, 9348, 9576, 9804, 10032, 10260, 10488, 10716, 10944, 11172, 11400, 11628, 11856, 12084, 12312, 12540, 12768, 12996, 13224, 13452, 13680, 13908, 14136, 14364, 14592, 14820, 15048, 15276, 15504, 15732, 15960, 16188, 16416, 16644, 16872, 17100, 17328, 17556, 17784, 18012, 18240, 18468, 18696, 18924, 19152, 19380, 19608, 19836, 20064, 20292, 20520, 20748, 20976, 21204, 21432, 21660, 21888, 22116, 22344, 22572, 22800, 23028, 23256, 23484, 23712, 23940, 24168, 24396, 24624, 24852, 25080, 25308, 25536, 25764, 25992, 26220, 26448, 26676, 26904, 27132, 27360, 27588, 27816, 28044, 28272, 28500, 28728, 28956, 29184, 29412, 29640, 29868, 30096, 30324, 30552, 30780, 31008, 31236, 31464, 31692, 31920, 32148, 32376, 32604, 32832, 33060, 33288, 33516, 33744, 33972, 34200, 34428, 34656, 34884, 35112, 35340, 35568, 35796, 36024, 36252, 36480, 36708, 36936, 37164, 37392, 37620, 37848, 38076, 38304, 38532, 38760, 38988, 39216, 39444, 39672, 39900, 40128, 40356, 40584, 40812, 41040, 41268, 41496, 41724, 41952, 42180, 42408, 42636, 42864, 43092, 43320, 43548, 43776, 44004, 44232, 44460, 44688, 44916, 45144, 45372, 45600, 45828, 46056, 46284, 46512

Hence, LCM of 204 and 228 is 3876.

Steps to find LCM of 204 and 228 by Common Division Method

Find all the prime numbers that would divide 204 and 228 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 204 and 228 by Common Division Method

2	204 228
2	102 114
3	51 57
17	17 19
19	1 19
	1 1

Hence, LCM of 204 and 228 is 2 x 2 x 3 x 17 x 19 = 3876.

Steps to find lcm of 204 and 228 by Formula

The formula for LCM is LCM (204, 228) = (204 x 228) / GCF (204, 228)
Apply the formula, and read off the answer!

Example: Find lcm of 204 and 228 by Formula

GCF of 204 and 228 = 12
LCM of 204 and 228 = (204 x 228) / 12
=> 46512 / 12

Hence, LCM of 204 and 228 is 3876.

Examples

Ram and Deepika are running on a circular track. They start at the same time. They take 204 and 228 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 204 and 228 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 204 and 228.
So, LCM of 204 and 228 is 3876.

A shopkeeper sells candies in packet of 204 and chocolates in packet of 228. 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 204 and 228.
So, LCM of 204 and 228 is 3876.

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

Greatest common factors or gcf of 204 and 228 is GCF(204, 228) * LCM(204, 228) = (204 x 228) / GCF(204, 228) = 3876.

Sammy's company prints 204 textbooks at a time. Daniel's company prints textbooks in sets of 228 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 204 and 228.
So, LCM of 204 and 228 is 3876.

Mary exercises every 204 days and Nikki every 228 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 204 and 228 is 3876.

Find the least common multiple of 204 and 228.

Least common multiple of 204 and 228 is 3876.

Find the least number which is exactly divisible by 204 and 228.

Least number which is exactly divisible by 204 and 228 is 3876.

What is LCM of 204 and 228?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 204 and 228 by Listing Method

Example: Find lcm of 204 and 228 by Listing Method

Steps to find LCM of 204 and 228 by Common Division Method

Example: Find lcm of 204 and 228 by Common Division Method

Steps to find lcm of 204 and 228 by Formula

Example: Find lcm of 204 and 228 by Formula

Examples

What is LCM of 204 and 228?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 204 and 228 by Listing Method

Example: Find lcm of 204 and 228 by Listing Method

Steps to find LCM of 204 and 228 by Common Division Method

Example: Find lcm of 204 and 228 by Common Division Method

Steps to find lcm of 204 and 228 by Formula

Example: Find lcm of 204 and 228 by Formula

Examples

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