Least Common Multiple of 89, 56, 78, 180

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 89, 56, 78, 180 i.e. 2915640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 89, 56, 78, 180 is 2915640.

LCM(89, 56, 78, 180) = 2915640

LCM of 89, 56, 78, 180

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

LCM of:

Least Common Multiple of 89,56,78,180

Least Common Multiple (LCM) of 89,56,78,180 is 2915640

2 89, 56, 78, 180
2 89, 28, 39, 90
3 89, 14, 39, 45
89, 14, 13, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 89 x 14 x 13 x 15 = 2915640

Least Common Multiple of 89,56,78,180 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 89,56,78,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,56,78,180) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(89,56,78,180) x common factors =1 x 24 = 24

LCM(89,56,78,180) = ( 89 × 56 × 78 × 180 ) / 24

LCM(89,56,78,180) = 69975360 / 24

LCM(89,56,78,180) = 2915640

∴ Least Common Multiple of 89,56,78,180 is 2915640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 89, 56, 78, 180

1. What is the LCM of 89, 56, 78, 180?

Answer: LCM of 89, 56, 78, 180 is 2915640.

2. What are the Factors of 2915640?

Answer: Factors of 2915640 are . There are integers that are factors of 2915640

3. How to Find the LCM of 89, 56, 78, 180 ?

Least Common Multiple of 89, 56, 78, 180.

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(89, 56, 78, 180) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 89 = 2915640.