Least Common Multiple of 512, 102, 153

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, 102, 153 i.e. 78336 smallest integer divisible by all numbers.

Least common multiple (LCM) of 512, 102, 153 is 78336.

LCM(512, 102, 153) = 78336

LCM of 512, 102, 153

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

LCM of:

Least Common Multiple of 512,102,153

Least Common Multiple (LCM) of 512,102,153 is 78336

2 512, 102, 153
3 256, 51, 153
17 256, 17, 51
256, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 17 x 256 x 1 x 3 = 78336

Least Common Multiple of 512,102,153 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 512,102,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,102,153) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(512,102,153) x common factors =1 x 102 = 102

LCM(512,102,153) = ( 512 × 102 × 153 ) / 102

LCM(512,102,153) = 7990272 / 102

LCM(512,102,153) = 78336

∴ Least Common Multiple of 512,102,153 is 78336

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 512, 102, 153

1. What is the LCM of 512, 102, 153?

Answer: LCM of 512, 102, 153 is 78336.

2. What are the Factors of 78336?

Answer: Factors of 78336 are . There are integers that are factors of 78336

3. How to Find the LCM of 512, 102, 153 ?

Least Common Multiple of 512, 102, 153.

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, 102, 153) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 = 78336.