Least Common Multiple of 4, 71, 972

Q: How to Find the LCM of 4, 71, 972 ?

Least Common Multiple of 4, 71, 972 = 69012 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(4, 71, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71 = 69012.

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 4, 71, 972 i.e. 69012 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4, 71, 972 is 69012.

LCM(4, 71, 972) = 69012

LCM of 4, 71, 972

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

Least Common Multiple of 4, 71, 972 by common division method
Least Common Multiple of 4, 71, 972 with GCF Formula

Least Common Multiple of 4,71,972

Least Common Multiple (LCM) of 4,71,972 is 69012

2	4, 71, 972
2	2, 71, 486
	1, 71, 243

∴ So the LCM of the given numbers is 2 x 2 x 1 x 71 x 243 = 69012

Least Common Multiple of 4,71,972 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 4,71,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,71,972) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,71,972) x common factors =1 x 4 = 4

LCM(4,71,972) = ( 4 × 71 × 972 ) / 4

LCM(4,71,972) = 276048 / 4

LCM(4,71,972) = 69012

∴ Least Common Multiple of 4,71,972 is 69012

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 4, 71, 972

1. What is the LCM of 4, 71, 972?

Answer: LCM of 4, 71, 972 is 69012.

2. What are the Factors of 69012?

Answer: Factors of 69012 are . There are integers that are factors of 69012

3. How to Find the LCM of 4, 71, 972 ?

Least Common Multiple of 4, 71, 972.

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(4, 71, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71 = 69012.