Least Common Multiple of 249, 372, 54

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 249, 372, 54 i.e. 277884 smallest integer divisible by all numbers.

Least common multiple (LCM) of 249, 372, 54 is 277884.

LCM(249, 372, 54) = 277884

LCM of 249, 372, 54

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

LCM of:

Least Common Multiple of 249,372,54

Least Common Multiple (LCM) of 249,372,54 is 277884

2 249, 372, 54
3 249, 186, 27
83, 62, 9

∴ So the LCM of the given numbers is 2 x 3 x 83 x 62 x 9 = 277884

Least Common Multiple of 249,372,54 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 249,372,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,372,54) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(249,372,54) x common factors =3 x 6 = 18

LCM(249,372,54) = ( 249 × 372 × 54 ) / 18

LCM(249,372,54) = 5001912 / 18

LCM(249,372,54) = 277884

∴ Least Common Multiple of 249,372,54 is 277884

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 249, 372, 54

1. What is the LCM of 249, 372, 54?

Answer: LCM of 249, 372, 54 is 277884.

2. What are the Factors of 277884?

Answer: Factors of 277884 are . There are integers that are factors of 277884

3. How to Find the LCM of 249, 372, 54 ?

Least Common Multiple of 249, 372, 54.

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(249, 372, 54) = 2 x 2 x 3 x 3 x 3 x 31 x 83 = 277884.