Least Common Multiple of 61, 44, 54, 924

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 61, 44, 54, 924 i.e. 507276 smallest integer divisible by all numbers.

Least common multiple (LCM) of 61, 44, 54, 924 is 507276.

LCM(61, 44, 54, 924) = 507276

LCM of 61, 44, 54, 924

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

LCM of:

Least Common Multiple of 61,44,54,924

Least Common Multiple (LCM) of 61,44,54,924 is 507276

2 61, 44, 54, 924
2 61, 22, 27, 462
3 61, 11, 27, 231
11 61, 11, 9, 77
61, 1, 9, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 61 x 1 x 9 x 7 = 507276

Least Common Multiple of 61,44,54,924 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 61,44,54,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,44,54,924) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(61,44,54,924) x common factors =1 x 264 = 264

LCM(61,44,54,924) = ( 61 × 44 × 54 × 924 ) / 264

LCM(61,44,54,924) = 133920864 / 264

LCM(61,44,54,924) = 507276

∴ Least Common Multiple of 61,44,54,924 is 507276

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 61, 44, 54, 924

1. What is the LCM of 61, 44, 54, 924?

Answer: LCM of 61, 44, 54, 924 is 507276.

2. What are the Factors of 507276?

Answer: Factors of 507276 are . There are integers that are factors of 507276

3. How to Find the LCM of 61, 44, 54, 924 ?

Least Common Multiple of 61, 44, 54, 924.

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(61, 44, 54, 924) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 61 = 507276.