Least Common Multiple of 36, 18, 22, 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 36, 18, 22, 936 i.e. 10296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 18, 22, 936 is 10296.

LCM(36, 18, 22, 936) = 10296

LCM of 36, 18, 22, 936

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

LCM of:

Least Common Multiple of 36,18,22,936

Least Common Multiple (LCM) of 36,18,22,936 is 10296

2 36, 18, 22, 936
2 18, 9, 11, 468
3 9, 9, 11, 234
3 3, 3, 11, 78
1, 1, 11, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 11 x 26 = 10296

Least Common Multiple of 36,18,22,936 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 36,18,22,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,18,22,936) = 2

common factors(in case of two or more numbers have common factors) = 648

GCF(36,18,22,936) x common factors =2 x 648 = 1296

LCM(36,18,22,936) = ( 36 × 18 × 22 × 936 ) / 1296

LCM(36,18,22,936) = 13343616 / 1296

LCM(36,18,22,936) = 10296

∴ Least Common Multiple of 36,18,22,936 is 10296

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 18, 22, 936

1. What is the LCM of 36, 18, 22, 936?

Answer: LCM of 36, 18, 22, 936 is 10296.

2. What are the Factors of 10296?

Answer: Factors of 10296 are . There are integers that are factors of 10296

3. How to Find the LCM of 36, 18, 22, 936 ?

Least Common Multiple of 36, 18, 22, 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(36, 18, 22, 936) = 2 x 2 x 2 x 3 x 3 x 11 x 13 = 10296.