Least Common Multiple of 28, 20, 64, 875

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 28, 20, 64, 875 i.e. 56000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 28, 20, 64, 875 is 56000.

LCM(28, 20, 64, 875) = 56000

LCM of 28, 20, 64, 875

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

LCM of:

Least Common Multiple of 28,20,64,875

Least Common Multiple (LCM) of 28,20,64,875 is 56000

2 28, 20, 64, 875
2 14, 10, 32, 875
5 7, 5, 16, 875
7 7, 1, 16, 175
1, 1, 16, 25

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 16 x 25 = 56000

Least Common Multiple of 28,20,64,875 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 28,20,64,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,20,64,875) = 1

common factors(in case of two or more numbers have common factors) = 560

GCF(28,20,64,875) x common factors =1 x 560 = 560

LCM(28,20,64,875) = ( 28 × 20 × 64 × 875 ) / 560

LCM(28,20,64,875) = 31360000 / 560

LCM(28,20,64,875) = 56000

∴ Least Common Multiple of 28,20,64,875 is 56000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 28, 20, 64, 875

1. What is the LCM of 28, 20, 64, 875?

Answer: LCM of 28, 20, 64, 875 is 56000.

2. What are the Factors of 56000?

Answer: Factors of 56000 are . There are integers that are factors of 56000

3. How to Find the LCM of 28, 20, 64, 875 ?

Least Common Multiple of 28, 20, 64, 875.

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(28, 20, 64, 875) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 = 56000.