What is the LCM of 252 and 198 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 252 and 198

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 252 and 198 is 2772, where 252 and 198 are less than 2772.
LCM is associative which means LCM(252, 198) = LCM(198, 252).
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 252 and 198 by Listing Method

Find some first multiples of 252 and 198.
Find the least common multiple, and read off the answer!

Example: Find lcm of 252 and 198 by Listing Method

Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024, 3276, 3528, 3780, 4032, 4284, 4536, 4788, 5040, 5292, 5544, 5796, 6048, 6300, 6552, 6804, 7056, 7308, 7560, 7812, 8064, 8316, 8568, 8820, 9072, 9324, 9576, 9828, 10080, 10332, 10584, 10836, 11088, 11340, 11592, 11844, 12096, 12348, 12600, 12852, 13104, 13356, 13608, 13860, 14112, 14364, 14616, 14868, 15120, 15372, 15624, 15876, 16128, 16380, 16632, 16884, 17136, 17388, 17640, 17892, 18144, 18396, 18648, 18900, 19152, 19404, 19656, 19908, 20160, 20412, 20664, 20916, 21168, 21420, 21672, 21924, 22176, 22428, 22680, 22932, 23184, 23436, 23688, 23940, 24192, 24444, 24696, 24948, 25200, 25452, 25704, 25956, 26208, 26460, 26712, 26964, 27216, 27468, 27720, 27972, 28224, 28476, 28728, 28980, 29232, 29484, 29736, 29988, 30240, 30492, 30744, 30996, 31248, 31500, 31752, 32004, 32256, 32508, 32760, 33012, 33264, 33516, 33768, 34020, 34272, 34524, 34776, 35028, 35280, 35532, 35784, 36036, 36288, 36540, 36792, 37044, 37296, 37548, 37800, 38052, 38304, 38556, 38808, 39060, 39312, 39564, 39816, 40068, 40320, 40572, 40824, 41076, 41328, 41580, 41832, 42084, 42336, 42588, 42840, 43092, 43344, 43596, 43848, 44100, 44352, 44604, 44856, 45108, 45360, 45612, 45864, 46116, 46368, 46620, 46872, 47124, 47376, 47628, 47880, 48132, 48384, 48636, 48888, 49140, 49392, 49644, 49896
Multiples of 198: 198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980, 2178, 2376, 2574, 2772, 2970, 3168, 3366, 3564, 3762, 3960, 4158, 4356, 4554, 4752, 4950, 5148, 5346, 5544, 5742, 5940, 6138, 6336, 6534, 6732, 6930, 7128, 7326, 7524, 7722, 7920, 8118, 8316, 8514, 8712, 8910, 9108, 9306, 9504, 9702, 9900, 10098, 10296, 10494, 10692, 10890, 11088, 11286, 11484, 11682, 11880, 12078, 12276, 12474, 12672, 12870, 13068, 13266, 13464, 13662, 13860, 14058, 14256, 14454, 14652, 14850, 15048, 15246, 15444, 15642, 15840, 16038, 16236, 16434, 16632, 16830, 17028, 17226, 17424, 17622, 17820, 18018, 18216, 18414, 18612, 18810, 19008, 19206, 19404, 19602, 19800, 19998, 20196, 20394, 20592, 20790, 20988, 21186, 21384, 21582, 21780, 21978, 22176, 22374, 22572, 22770, 22968, 23166, 23364, 23562, 23760, 23958, 24156, 24354, 24552, 24750, 24948, 25146, 25344, 25542, 25740, 25938, 26136, 26334, 26532, 26730, 26928, 27126, 27324, 27522, 27720, 27918, 28116, 28314, 28512, 28710, 28908, 29106, 29304, 29502, 29700, 29898, 30096, 30294, 30492, 30690, 30888, 31086, 31284, 31482, 31680, 31878, 32076, 32274, 32472, 32670, 32868, 33066, 33264, 33462, 33660, 33858, 34056, 34254, 34452, 34650, 34848, 35046, 35244, 35442, 35640, 35838, 36036, 36234, 36432, 36630, 36828, 37026, 37224, 37422, 37620, 37818, 38016, 38214, 38412, 38610, 38808, 39006, 39204, 39402, 39600, 39798, 39996, 40194, 40392, 40590, 40788, 40986, 41184, 41382, 41580, 41778, 41976, 42174, 42372, 42570, 42768, 42966, 43164, 43362, 43560, 43758, 43956, 44154, 44352, 44550, 44748, 44946, 45144, 45342, 45540, 45738, 45936, 46134, 46332, 46530, 46728, 46926, 47124, 47322, 47520, 47718, 47916, 48114, 48312, 48510, 48708, 48906, 49104, 49302, 49500, 49698, 49896

Hence, LCM of 252 and 198 is 2772.

Steps to find LCM of 252 and 198 by Common Division Method

Find all the prime numbers that would divide 252 and 198 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 252 and 198 by Common Division Method

2	252 198
2	126 99
3	63 99
3	21 33
7	7 11
11	1 11
	1 1

Hence, LCM of 252 and 198 is 2 x 2 x 3 x 3 x 7 x 11 = 2772.

Steps to find lcm of 252 and 198 by Formula

The formula for LCM is LCM (252, 198) = (252 x 198) / GCF (252, 198)
Apply the formula, and read off the answer!

Example: Find lcm of 252 and 198 by Formula

GCF of 252 and 198 = 18
LCM of 252 and 198 = (252 x 198) / 18
=> 49896 / 18

Hence, LCM of 252 and 198 is 2772.

Examples

Ram and Deepika are running on a circular track. They start at the same time. They take 252 and 198 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 252 and 198 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 252 and 198.
So, LCM of 252 and 198 is 2772.

A shopkeeper sells candies in packet of 252 and chocolates in packet of 198. 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 252 and 198.
So, LCM of 252 and 198 is 2772.

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

Greatest common factors or gcf of 252 and 198 is GCF(252, 198) * LCM(252, 198) = (252 x 198) / GCF(252, 198) = 2772.

Sammy's company prints 252 textbooks at a time. Daniel's company prints textbooks in sets of 198 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 252 and 198.
So, LCM of 252 and 198 is 2772.

Mary exercises every 252 days and Nikki every 198 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 252 and 198 is 2772.

Find the least common multiple of 252 and 198.

Least common multiple of 252 and 198 is 2772.

Find the least number which is exactly divisible by 252 and 198.

Least number which is exactly divisible by 252 and 198 is 2772.

What is LCM of 252 and 198?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 252 and 198 by Listing Method

Example: Find lcm of 252 and 198 by Listing Method

Steps to find LCM of 252 and 198 by Common Division Method

Example: Find lcm of 252 and 198 by Common Division Method

Steps to find lcm of 252 and 198 by Formula

Example: Find lcm of 252 and 198 by Formula

Examples

What is LCM of 252 and 198?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 252 and 198 by Listing Method

Example: Find lcm of 252 and 198 by Listing Method

Steps to find LCM of 252 and 198 by Common Division Method

Example: Find lcm of 252 and 198 by Common Division Method

Steps to find lcm of 252 and 198 by Formula

Example: Find lcm of 252 and 198 by Formula

Examples

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