Least Common Multiple of 72, 744, 936

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 72, 744, 936 i.e. 29016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 744, 936 is 29016.

LCM(72, 744, 936) = 29016

LCM of 72, 744, 936

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

LCM of:

Least Common Multiple of 72,744,936

Least Common Multiple (LCM) of 72,744,936 is 29016

2 72, 744, 936
2 36, 372, 468
2 18, 186, 234
3 9, 93, 117
3 3, 31, 39
1, 31, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 31 x 13 = 29016

Least Common Multiple of 72,744,936 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 72,744,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,744,936) = 24

common factors(in case of two or more numbers have common factors) = 72

GCF(72,744,936) x common factors =24 x 72 = 1728

LCM(72,744,936) = ( 72 × 744 × 936 ) / 1728

LCM(72,744,936) = 50139648 / 1728

LCM(72,744,936) = 29016

∴ Least Common Multiple of 72,744,936 is 29016

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 72, 744, 936

1. What is the LCM of 72, 744, 936?

Answer: LCM of 72, 744, 936 is 29016.

2. What are the Factors of 29016?

Answer: Factors of 29016 are . There are integers that are factors of 29016

3. How to Find the LCM of 72, 744, 936 ?

Least Common Multiple of 72, 744, 936.

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(72, 744, 936) = 2 x 2 x 2 x 3 x 3 x 13 x 31 = 29016.