Least Common Multiple of 36, 89, 78, 421

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, 89, 78, 421 i.e. 17535492 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 89, 78, 421 is 17535492.

LCM(36, 89, 78, 421) = 17535492

LCM of 36, 89, 78, 421

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

LCM of:

Least Common Multiple of 36,89,78,421

Least Common Multiple (LCM) of 36,89,78,421 is 17535492

2 36, 89, 78, 421
3 18, 89, 39, 421
6, 89, 13, 421

∴ So the LCM of the given numbers is 2 x 3 x 6 x 89 x 13 x 421 = 17535492

Least Common Multiple of 36,89,78,421 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 36,89,78,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,89,78,421) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,89,78,421) x common factors =1 x 6 = 6

LCM(36,89,78,421) = ( 36 × 89 × 78 × 421 ) / 6

LCM(36,89,78,421) = 105212952 / 6

LCM(36,89,78,421) = 17535492

∴ Least Common Multiple of 36,89,78,421 is 17535492

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 89, 78, 421

1. What is the LCM of 36, 89, 78, 421?

Answer: LCM of 36, 89, 78, 421 is 17535492.

2. What are the Factors of 17535492?

Answer: Factors of 17535492 are . There are integers that are factors of 17535492

3. How to Find the LCM of 36, 89, 78, 421 ?

Least Common Multiple of 36, 89, 78, 421.

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, 89, 78, 421) = 2 x 2 x 3 x 3 x 13 x 89 x 421 = 17535492.