Least Common Multiple of 96, 80, 972

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 96, 80, 972 i.e. 38880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 80, 972 is 38880.

LCM(96, 80, 972) = 38880

LCM of 96, 80, 972

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

LCM of:

Least Common Multiple of 96,80,972

Least Common Multiple (LCM) of 96,80,972 is 38880

2 96, 80, 972
2 48, 40, 486
2 24, 20, 243
2 12, 10, 243
3 6, 5, 243
2, 5, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 5 x 81 = 38880

Least Common Multiple of 96,80,972 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 96,80,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,80,972) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(96,80,972) x common factors =4 x 48 = 192

LCM(96,80,972) = ( 96 × 80 × 972 ) / 192

LCM(96,80,972) = 7464960 / 192

LCM(96,80,972) = 38880

∴ Least Common Multiple of 96,80,972 is 38880

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 96, 80, 972

1. What is the LCM of 96, 80, 972?

Answer: LCM of 96, 80, 972 is 38880.

2. What are the Factors of 38880?

Answer: Factors of 38880 are . There are integers that are factors of 38880

3. How to Find the LCM of 96, 80, 972 ?

Least Common Multiple of 96, 80, 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(96, 80, 972) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 = 38880.