Least Common Multiple of 31, 84, 972

Q: How to Find the LCM of 31, 84, 972 ?

Least Common Multiple of 31, 84, 972 = 210924 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(31, 84, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 31 = 210924.

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 31, 84, 972 i.e. 210924 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 84, 972 is 210924.

LCM(31, 84, 972) = 210924

LCM of 31, 84, 972

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

Least Common Multiple of 31, 84, 972 by common division method
Least Common Multiple of 31, 84, 972 with GCF Formula

Least Common Multiple of 31,84,972

Least Common Multiple (LCM) of 31,84,972 is 210924

2	31, 84, 972
2	31, 42, 486
3	31, 21, 243
	31, 7, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 7 x 81 = 210924

Least Common Multiple of 31,84,972 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 31,84,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,84,972) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(31,84,972) x common factors =1 x 12 = 12

LCM(31,84,972) = ( 31 × 84 × 972 ) / 12

LCM(31,84,972) = 2531088 / 12

LCM(31,84,972) = 210924

∴ Least Common Multiple of 31,84,972 is 210924

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 31, 84, 972

1. What is the LCM of 31, 84, 972?

Answer: LCM of 31, 84, 972 is 210924.

2. What are the Factors of 210924?

Answer: Factors of 210924 are . There are integers that are factors of 210924

3. How to Find the LCM of 31, 84, 972 ?

Least Common Multiple of 31, 84, 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(31, 84, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 31 = 210924.