Least Common Multiple of 54, 76, 22, 612

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 54, 76, 22, 612 i.e. 383724 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 76, 22, 612 is 383724.

LCM(54, 76, 22, 612) = 383724

LCM of 54, 76, 22, 612

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

LCM of:

Least Common Multiple of 54,76,22,612

Least Common Multiple (LCM) of 54,76,22,612 is 383724

2 54, 76, 22, 612
2 27, 38, 11, 306
3 27, 19, 11, 153
3 9, 19, 11, 51
3, 19, 11, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 19 x 11 x 17 = 383724

Least Common Multiple of 54,76,22,612 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 54,76,22,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,76,22,612) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(54,76,22,612) x common factors =2 x 72 = 144

LCM(54,76,22,612) = ( 54 × 76 × 22 × 612 ) / 144

LCM(54,76,22,612) = 55256256 / 144

LCM(54,76,22,612) = 383724

∴ Least Common Multiple of 54,76,22,612 is 383724

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 54, 76, 22, 612

1. What is the LCM of 54, 76, 22, 612?

Answer: LCM of 54, 76, 22, 612 is 383724.

2. What are the Factors of 383724?

Answer: Factors of 383724 are . There are integers that are factors of 383724

3. How to Find the LCM of 54, 76, 22, 612 ?

Least Common Multiple of 54, 76, 22, 612.

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(54, 76, 22, 612) = 2 x 2 x 3 x 3 x 3 x 11 x 17 x 19 = 383724.