Least Common Multiple of 12, 39, 21, 684

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 12, 39, 21, 684 i.e. 62244 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 39, 21, 684 is 62244.

LCM(12, 39, 21, 684) = 62244

LCM of 12, 39, 21, 684

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

LCM of:

Least Common Multiple of 12,39,21,684

Least Common Multiple (LCM) of 12,39,21,684 is 62244

2 12, 39, 21, 684
2 6, 39, 21, 342
3 3, 39, 21, 171
1, 13, 7, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 13 x 7 x 57 = 62244

Least Common Multiple of 12,39,21,684 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 12,39,21,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,39,21,684) = 3

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

GCF(12,39,21,684) x common factors =3 x 36 = 108

LCM(12,39,21,684) = ( 12 × 39 × 21 × 684 ) / 108

LCM(12,39,21,684) = 6722352 / 108

LCM(12,39,21,684) = 62244

∴ Least Common Multiple of 12,39,21,684 is 62244

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 39, 21, 684

1. What is the LCM of 12, 39, 21, 684?

Answer: LCM of 12, 39, 21, 684 is 62244.

2. What are the Factors of 62244?

Answer: Factors of 62244 are . There are integers that are factors of 62244

3. How to Find the LCM of 12, 39, 21, 684 ?

Least Common Multiple of 12, 39, 21, 684.

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(12, 39, 21, 684) = 2 x 2 x 3 x 3 x 7 x 13 x 19 = 62244.