Least Common Multiple of 336, 507, 676

Q: How to Find the LCM of 336, 507, 676 ?

Least Common Multiple of 336, 507, 676 = 56784 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(336, 507, 676) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13 = 56784.

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 336, 507, 676 i.e. 56784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 336, 507, 676 is 56784.

LCM(336, 507, 676) = 56784

LCM of 336, 507, 676

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

Least Common Multiple of 336, 507, 676 by common division method
Least Common Multiple of 336, 507, 676 with GCF Formula

Least Common Multiple of 336,507,676

Least Common Multiple (LCM) of 336,507,676 is 56784

2	336, 507, 676
2	168, 507, 338
3	84, 507, 169
13	28, 169, 169
13	28, 13, 13
	28, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 13 x 28 x 1 x 1 = 56784

Least Common Multiple of 336,507,676 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 336,507,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,507,676) = 1

common factors(in case of two or more numbers have common factors) = 2028

GCF(336,507,676) x common factors =1 x 2028 = 2028

LCM(336,507,676) = ( 336 × 507 × 676 ) / 2028

LCM(336,507,676) = 115157952 / 2028

LCM(336,507,676) = 56784

∴ Least Common Multiple of 336,507,676 is 56784

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 336, 507, 676

1. What is the LCM of 336, 507, 676?

Answer: LCM of 336, 507, 676 is 56784.

2. What are the Factors of 56784?

Answer: Factors of 56784 are . There are integers that are factors of 56784

3. How to Find the LCM of 336, 507, 676 ?

Least Common Multiple of 336, 507, 676.

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(336, 507, 676) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13 = 56784.