Least Common Multiple of 4, 54, 249

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 4, 54, 249 i.e. 8964 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4, 54, 249 is 8964.

LCM(4, 54, 249) = 8964

LCM of 4, 54, 249

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

LCM of:

Least Common Multiple of 4,54,249

Least Common Multiple (LCM) of 4,54,249 is 8964

2 4, 54, 249
3 2, 27, 249
2, 9, 83

∴ So the LCM of the given numbers is 2 x 3 x 2 x 9 x 83 = 8964

Least Common Multiple of 4,54,249 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 4,54,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,54,249) = 1

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

GCF(4,54,249) x common factors =1 x 6 = 6

LCM(4,54,249) = ( 4 × 54 × 249 ) / 6

LCM(4,54,249) = 53784 / 6

LCM(4,54,249) = 8964

∴ Least Common Multiple of 4,54,249 is 8964

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 4, 54, 249

1. What is the LCM of 4, 54, 249?

Answer: LCM of 4, 54, 249 is 8964.

2. What are the Factors of 8964?

Answer: Factors of 8964 are . There are integers that are factors of 8964

3. How to Find the LCM of 4, 54, 249 ?

Least Common Multiple of 4, 54, 249.

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(4, 54, 249) = 2 x 2 x 3 x 3 x 3 x 83 = 8964.