Least Common Multiple of 100, 960, 339

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 100, 960, 339 i.e. 542400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 100, 960, 339 is 542400.

LCM(100, 960, 339) = 542400

LCM of 100, 960, 339

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

LCM of:

Least Common Multiple of 100,960,339

Least Common Multiple (LCM) of 100,960,339 is 542400

2 100, 960, 339
2 50, 480, 339
3 25, 240, 339
5 25, 80, 113
5, 16, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 16 x 113 = 542400

Least Common Multiple of 100,960,339 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 100,960,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,960,339) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(100,960,339) x common factors =1 x 60 = 60

LCM(100,960,339) = ( 100 × 960 × 339 ) / 60

LCM(100,960,339) = 32544000 / 60

LCM(100,960,339) = 542400

∴ Least Common Multiple of 100,960,339 is 542400

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 100, 960, 339

1. What is the LCM of 100, 960, 339?

Answer: LCM of 100, 960, 339 is 542400.

2. What are the Factors of 542400?

Answer: Factors of 542400 are . There are integers that are factors of 542400

3. How to Find the LCM of 100, 960, 339 ?

Least Common Multiple of 100, 960, 339.

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(100, 960, 339) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 113 = 542400.