Least Common Multiple of 56, 72, 21, 74

Q: How to Find the LCM of 56, 72, 21, 74 ?

Least Common Multiple of 56, 72, 21, 74 = 18648 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(56, 72, 21, 74) = 2 x 2 x 2 x 3 x 3 x 7 x 37 = 18648.

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 56, 72, 21, 74 i.e. 18648 smallest integer divisible by all numbers.

Least common multiple (LCM) of 56, 72, 21, 74 is 18648.

LCM(56, 72, 21, 74) = 18648

LCM of 56, 72, 21, 74

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

Least Common Multiple of 56, 72, 21, 74 by common division method
Least Common Multiple of 56, 72, 21, 74 with GCF Formula

Least Common Multiple of 56,72,21,74

Least Common Multiple (LCM) of 56,72,21,74 is 18648

2	56, 72, 21, 74
2	28, 36, 21, 37
2	14, 18, 21, 37
3	7, 9, 21, 37
7	7, 3, 7, 37
	1, 3, 1, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 3 x 1 x 37 = 18648

Least Common Multiple of 56,72,21,74 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 56,72,21,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,72,21,74) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(56,72,21,74) x common factors =1 x 336 = 336

LCM(56,72,21,74) = ( 56 × 72 × 21 × 74 ) / 336

LCM(56,72,21,74) = 6265728 / 336

LCM(56,72,21,74) = 18648

∴ Least Common Multiple of 56,72,21,74 is 18648

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 56, 72, 21, 74

1. What is the LCM of 56, 72, 21, 74?

Answer: LCM of 56, 72, 21, 74 is 18648.

2. What are the Factors of 18648?

Answer: Factors of 18648 are . There are integers that are factors of 18648

3. How to Find the LCM of 56, 72, 21, 74 ?

Least Common Multiple of 56, 72, 21, 74.

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(56, 72, 21, 74) = 2 x 2 x 2 x 3 x 3 x 7 x 37 = 18648.