Least Common Multiple of 405, 864, 250

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 405, 864, 250 i.e. 324000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 405, 864, 250 is 324000.

LCM(405, 864, 250) = 324000

LCM of 405, 864, 250

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

LCM of:

Least Common Multiple of 405,864,250

Least Common Multiple (LCM) of 405,864,250 is 324000

2 405, 864, 250
3 405, 432, 125
3 135, 144, 125
3 45, 48, 125
5 15, 16, 125
3, 16, 25

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 3 x 16 x 25 = 324000

Least Common Multiple of 405,864,250 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 405,864,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,864,250) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(405,864,250) x common factors =1 x 270 = 270

LCM(405,864,250) = ( 405 × 864 × 250 ) / 270

LCM(405,864,250) = 87480000 / 270

LCM(405,864,250) = 324000

∴ Least Common Multiple of 405,864,250 is 324000

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 405, 864, 250

1. What is the LCM of 405, 864, 250?

Answer: LCM of 405, 864, 250 is 324000.

2. What are the Factors of 324000?

Answer: Factors of 324000 are . There are integers that are factors of 324000

3. How to Find the LCM of 405, 864, 250 ?

Least Common Multiple of 405, 864, 250.

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(405, 864, 250) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 = 324000.