Least Common Multiple of 204, 164, 752, 872

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 204, 164, 752, 872 i.e. 171395088 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 164, 752, 872 is 171395088.

LCM(204, 164, 752, 872) = 171395088

LCM of 204, 164, 752, 872

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

LCM of:

Least Common Multiple of 204,164,752,872

Least Common Multiple (LCM) of 204,164,752,872 is 171395088

2 204, 164, 752, 872
2 102, 82, 376, 436
2 51, 41, 188, 218
51, 41, 94, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 51 x 41 x 94 x 109 = 171395088

Least Common Multiple of 204,164,752,872 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 204,164,752,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,164,752,872) = 4

common factors(in case of two or more numbers have common factors) = 32

GCF(204,164,752,872) x common factors =4 x 32 = 128

LCM(204,164,752,872) = ( 204 × 164 × 752 × 872 ) / 128

LCM(204,164,752,872) = 21938571264 / 128

LCM(204,164,752,872) = 171395088

∴ Least Common Multiple of 204,164,752,872 is 171395088

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 204, 164, 752, 872

1. What is the LCM of 204, 164, 752, 872?

Answer: LCM of 204, 164, 752, 872 is 171395088.

2. What are the Factors of 171395088?

Answer: Factors of 171395088 are . There are integers that are factors of 171395088

3. How to Find the LCM of 204, 164, 752, 872 ?

Least Common Multiple of 204, 164, 752, 872.

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(204, 164, 752, 872) = 2 x 2 x 2 x 2 x 3 x 17 x 41 x 47 x 109 = 171395088.