Least Common Multiple of 339, 678, 12

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 339, 678, 12 i.e. 1356 smallest integer divisible by all numbers.

Least common multiple (LCM) of 339, 678, 12 is 1356.

LCM(339, 678, 12) = 1356

LCM of 339, 678, 12

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

LCM of:

Least Common Multiple of 339,678,12

Least Common Multiple (LCM) of 339,678,12 is 1356

2 339, 678, 12
3 339, 339, 6
113 113, 113, 2
1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1 x 1 x 2 = 1356

Least Common Multiple of 339,678,12 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 339,678,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,678,12) = 3

common factors(in case of two or more numbers have common factors) = 678

GCF(339,678,12) x common factors =3 x 678 = 2034

LCM(339,678,12) = ( 339 × 678 × 12 ) / 2034

LCM(339,678,12) = 2758104 / 2034

LCM(339,678,12) = 1356

∴ Least Common Multiple of 339,678,12 is 1356

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 339, 678, 12

1. What is the LCM of 339, 678, 12?

Answer: LCM of 339, 678, 12 is 1356.

2. What are the Factors of 1356?

Answer: Factors of 1356 are . There are integers that are factors of 1356

3. How to Find the LCM of 339, 678, 12 ?

Least Common Multiple of 339, 678, 12.

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(339, 678, 12) = 2 x 2 x 3 x 113 = 1356.