Least Common Multiple of 252, 825, 504

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 252, 825, 504 i.e. 138600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 825, 504 is 138600.

LCM(252, 825, 504) = 138600

LCM of 252, 825, 504

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

LCM of:

Least Common Multiple of 252,825,504

Least Common Multiple (LCM) of 252,825,504 is 138600

2 252, 825, 504
2 126, 825, 252
3 63, 825, 126
3 21, 275, 42
7 7, 275, 14
1, 275, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 275 x 2 = 138600

Least Common Multiple of 252,825,504 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 252,825,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,825,504) = 3

common factors(in case of two or more numbers have common factors) = 252

GCF(252,825,504) x common factors =3 x 252 = 756

LCM(252,825,504) = ( 252 × 825 × 504 ) / 756

LCM(252,825,504) = 104781600 / 756

LCM(252,825,504) = 138600

∴ Least Common Multiple of 252,825,504 is 138600

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 252, 825, 504

1. What is the LCM of 252, 825, 504?

Answer: LCM of 252, 825, 504 is 138600.

2. What are the Factors of 138600?

Answer: Factors of 138600 are . There are integers that are factors of 138600

3. How to Find the LCM of 252, 825, 504 ?

Least Common Multiple of 252, 825, 504.

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(252, 825, 504) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 = 138600.