Least Common Multiple of 360, 795, 576

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 360, 795, 576 i.e. 152640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 360, 795, 576 is 152640.

LCM(360, 795, 576) = 152640

LCM of 360, 795, 576

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

LCM of:

Least Common Multiple of 360,795,576

Least Common Multiple (LCM) of 360,795,576 is 152640

2 360, 795, 576
2 180, 795, 288
2 90, 795, 144
3 45, 795, 72
3 15, 265, 24
5 5, 265, 8
1, 53, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 53 x 8 = 152640

Least Common Multiple of 360,795,576 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 360,795,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,795,576) = 3

common factors(in case of two or more numbers have common factors) = 360

GCF(360,795,576) x common factors =3 x 360 = 1080

LCM(360,795,576) = ( 360 × 795 × 576 ) / 1080

LCM(360,795,576) = 164851200 / 1080

LCM(360,795,576) = 152640

∴ Least Common Multiple of 360,795,576 is 152640

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 360, 795, 576

1. What is the LCM of 360, 795, 576?

Answer: LCM of 360, 795, 576 is 152640.

2. What are the Factors of 152640?

Answer: Factors of 152640 are . There are integers that are factors of 152640

3. How to Find the LCM of 360, 795, 576 ?

Least Common Multiple of 360, 795, 576.

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(360, 795, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 = 152640.