Least Common Multiple of 25, 54, 54, 468

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 25, 54, 54, 468 i.e. 35100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 25, 54, 54, 468 is 35100.

LCM(25, 54, 54, 468) = 35100

LCM of 25, 54, 54, 468

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

LCM of:

Least Common Multiple of 25,54,54,468

Least Common Multiple (LCM) of 25,54,54,468 is 35100

2 25, 54, 54, 468
3 25, 27, 27, 234
3 25, 9, 9, 78
3 25, 3, 3, 26
25, 1, 1, 26

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 25 x 1 x 1 x 26 = 35100

Least Common Multiple of 25,54,54,468 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 25,54,54,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,54,54,468) = 1

common factors(in case of two or more numbers have common factors) = 972

GCF(25,54,54,468) x common factors =1 x 972 = 972

LCM(25,54,54,468) = ( 25 × 54 × 54 × 468 ) / 972

LCM(25,54,54,468) = 34117200 / 972

LCM(25,54,54,468) = 35100

∴ Least Common Multiple of 25,54,54,468 is 35100

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 25, 54, 54, 468

1. What is the LCM of 25, 54, 54, 468?

Answer: LCM of 25, 54, 54, 468 is 35100.

2. What are the Factors of 35100?

Answer: Factors of 35100 are . There are integers that are factors of 35100

3. How to Find the LCM of 25, 54, 54, 468 ?

Least Common Multiple of 25, 54, 54, 468.

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(25, 54, 54, 468) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 = 35100.