Least Common Multiple of 54, 38, 724

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, 38, 724 i.e. 371412 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 38, 724 is 371412.

LCM(54, 38, 724) = 371412

LCM of 54, 38, 724

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

LCM of:

Least Common Multiple of 54,38,724

Least Common Multiple (LCM) of 54,38,724 is 371412

2 54, 38, 724
27, 19, 362

∴ So the LCM of the given numbers is 2 x 27 x 19 x 362 = 371412

Least Common Multiple of 54,38,724 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 54,38,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,38,724) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,38,724) x common factors =2 x 2 = 4

LCM(54,38,724) = ( 54 × 38 × 724 ) / 4

LCM(54,38,724) = 1485648 / 4

LCM(54,38,724) = 371412

∴ Least Common Multiple of 54,38,724 is 371412

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 38, 724

1. What is the LCM of 54, 38, 724?

Answer: LCM of 54, 38, 724 is 371412.

2. What are the Factors of 371412?

Answer: Factors of 371412 are . There are integers that are factors of 371412

3. How to Find the LCM of 54, 38, 724 ?

Least Common Multiple of 54, 38, 724.

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, 38, 724) = 2 x 2 x 3 x 3 x 3 x 19 x 181 = 371412.