Least Common Multiple of 512, 288, 239, 156

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 512, 288, 239, 156 i.e. 14317056 smallest integer divisible by all numbers.

Least common multiple (LCM) of 512, 288, 239, 156 is 14317056.

LCM(512, 288, 239, 156) = 14317056

LCM of 512, 288, 239, 156

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

LCM of:

Least Common Multiple of 512,288,239,156

Least Common Multiple (LCM) of 512,288,239,156 is 14317056

2 512, 288, 239, 156
2 256, 144, 239, 78
2 128, 72, 239, 39
2 64, 36, 239, 39
2 32, 18, 239, 39
3 16, 9, 239, 39
16, 3, 239, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 16 x 3 x 239 x 13 = 14317056

Least Common Multiple of 512,288,239,156 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 512,288,239,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,288,239,156) = 1

common factors(in case of two or more numbers have common factors) = 384

GCF(512,288,239,156) x common factors =1 x 384 = 384

LCM(512,288,239,156) = ( 512 × 288 × 239 × 156 ) / 384

LCM(512,288,239,156) = 5497749504 / 384

LCM(512,288,239,156) = 14317056

∴ Least Common Multiple of 512,288,239,156 is 14317056

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 512, 288, 239, 156

1. What is the LCM of 512, 288, 239, 156?

Answer: LCM of 512, 288, 239, 156 is 14317056.

2. What are the Factors of 14317056?

Answer: Factors of 14317056 are . There are integers that are factors of 14317056

3. How to Find the LCM of 512, 288, 239, 156 ?

Least Common Multiple of 512, 288, 239, 156.

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(512, 288, 239, 156) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 239 = 14317056.