Least Common Multiple of 100, 105, 125, 128

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 100, 105, 125, 128 i.e. 336000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 100, 105, 125, 128 is 336000.

LCM(100, 105, 125, 128) = 336000

LCM of 100, 105, 125, 128

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

LCM of:

Least Common Multiple of 100,105,125,128

Least Common Multiple (LCM) of 100,105,125,128 is 336000

2 100, 105, 125, 128
2 50, 105, 125, 64
5 25, 105, 125, 32
5 5, 21, 25, 32
1, 21, 5, 32

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 21 x 5 x 32 = 336000

Least Common Multiple of 100,105,125,128 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 100,105,125,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,105,125,128) = 1

common factors(in case of two or more numbers have common factors) = 500

GCF(100,105,125,128) x common factors =1 x 500 = 500

LCM(100,105,125,128) = ( 100 × 105 × 125 × 128 ) / 500

LCM(100,105,125,128) = 168000000 / 500

LCM(100,105,125,128) = 336000

∴ Least Common Multiple of 100,105,125,128 is 336000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 100, 105, 125, 128

1. What is the LCM of 100, 105, 125, 128?

Answer: LCM of 100, 105, 125, 128 is 336000.

2. What are the Factors of 336000?

Answer: Factors of 336000 are . There are integers that are factors of 336000

3. How to Find the LCM of 100, 105, 125, 128 ?

Least Common Multiple of 100, 105, 125, 128.

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(100, 105, 125, 128) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 = 336000.