Least Common Multiple of 252, 854, 378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 252, 854, 378 i.e. 46116 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 854, 378 is 46116.

LCM(252, 854, 378) = 46116

LCM of 252, 854, 378

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 252,854,378

Least Common Multiple (LCM) of 252,854,378 is 46116

2 252, 854, 378
3 126, 427, 189
3 42, 427, 63
7 14, 427, 21
2, 61, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 2 x 61 x 3 = 46116

Least Common Multiple of 252,854,378 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 252,854,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,854,378) = 14

common factors(in case of two or more numbers have common factors) = 126

GCF(252,854,378) x common factors =14 x 126 = 1764

LCM(252,854,378) = ( 252 × 854 × 378 ) / 1764

LCM(252,854,378) = 81348624 / 1764

LCM(252,854,378) = 46116

∴ Least Common Multiple of 252,854,378 is 46116

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 252, 854, 378

1. What is the LCM of 252, 854, 378?

Answer: LCM of 252, 854, 378 is 46116.

2. What are the Factors of 46116?

Answer: Factors of 46116 are . There are integers that are factors of 46116

3. How to Find the LCM of 252, 854, 378 ?

Least Common Multiple of 252, 854, 378.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(252, 854, 378) = 2 x 2 x 3 x 3 x 3 x 7 x 61 = 46116.