Least Common Multiple of 42, 14, 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 42, 14, 724 i.e. 15204 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 14, 724 is 15204.

LCM(42, 14, 724) = 15204

LCM of 42, 14, 724

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

LCM of:

Least Common Multiple of 42,14,724

Least Common Multiple (LCM) of 42,14,724 is 15204

2 42, 14, 724
7 21, 7, 362
3, 1, 362

∴ So the LCM of the given numbers is 2 x 7 x 3 x 1 x 362 = 15204

Least Common Multiple of 42,14,724 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 42,14,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,14,724) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(42,14,724) x common factors =2 x 14 = 28

LCM(42,14,724) = ( 42 × 14 × 724 ) / 28

LCM(42,14,724) = 425712 / 28

LCM(42,14,724) = 15204

∴ Least Common Multiple of 42,14,724 is 15204

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 42, 14, 724

1. What is the LCM of 42, 14, 724?

Answer: LCM of 42, 14, 724 is 15204.

2. What are the Factors of 15204?

Answer: Factors of 15204 are . There are integers that are factors of 15204

3. How to Find the LCM of 42, 14, 724 ?

Least Common Multiple of 42, 14, 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(42, 14, 724) = 2 x 2 x 3 x 7 x 181 = 15204.