Least Common Multiple of 102, 684, 756

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 102, 684, 756 i.e. 244188 smallest integer divisible by all numbers.

Least common multiple (LCM) of 102, 684, 756 is 244188.

LCM(102, 684, 756) = 244188

LCM of 102, 684, 756

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

LCM of:

Least Common Multiple of 102,684,756

Least Common Multiple (LCM) of 102,684,756 is 244188

2 102, 684, 756
2 51, 342, 378
3 51, 171, 189
3 17, 57, 63
17, 19, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 19 x 21 = 244188

Least Common Multiple of 102,684,756 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 102,684,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,684,756) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(102,684,756) x common factors =6 x 36 = 216

LCM(102,684,756) = ( 102 × 684 × 756 ) / 216

LCM(102,684,756) = 52744608 / 216

LCM(102,684,756) = 244188

∴ Least Common Multiple of 102,684,756 is 244188

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 102, 684, 756

1. What is the LCM of 102, 684, 756?

Answer: LCM of 102, 684, 756 is 244188.

2. What are the Factors of 244188?

Answer: Factors of 244188 are . There are integers that are factors of 244188

3. How to Find the LCM of 102, 684, 756 ?

Least Common Multiple of 102, 684, 756.

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(102, 684, 756) = 2 x 2 x 3 x 3 x 3 x 7 x 17 x 19 = 244188.