Least Common Multiple of 676, 1656

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 676, 1656 i.e. 279864 smallest integer divisible by all numbers.

Least common multiple (LCM) of 676, 1656 is 279864.

LCM(676, 1656) = 279864

LCM of 676, 1656

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

LCM of:

Least Common Multiple of 676,1656

Least Common Multiple (LCM) of 676,1656 is 279864

2 676, 1656
2 338, 828
169, 414

∴ So the LCM of the given numbers is 2 x 2 x 169 x 414 = 279864

Least Common Multiple of 676,1656 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 676,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,1656) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(676,1656) x common factors =4 x 1 = 4

LCM(676,1656) = ( 676 × 1656 ) / 4

LCM(676,1656) = 1119456 / 4

LCM(676,1656) = 279864

∴ Least Common Multiple of 676,1656 is 279864

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 676, 1656

1. What is the LCM of 676, 1656?

Answer: LCM of 676, 1656 is 279864.

2. What are the Factors of 279864?

Answer: Factors of 279864 are . There are integers that are factors of 279864

3. How to Find the LCM of 676, 1656 ?

Least Common Multiple of 676, 1656.

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(676, 1656) = 2 x 2 x 2 x 3 x 3 x 13 x 13 x 23 = 279864.