Least Common Multiple of 688, 7656

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 688, 7656 i.e. 658416 smallest integer divisible by all numbers.

Least common multiple (LCM) of 688, 7656 is 658416.

LCM(688, 7656) = 658416

LCM of 688, 7656

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

LCM of:

Least Common Multiple of 688,7656

Least Common Multiple (LCM) of 688,7656 is 658416

2 688, 7656
2 344, 3828
2 172, 1914
86, 957

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 957 = 658416

Least Common Multiple of 688,7656 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 688,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7656) = 8

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

GCF(688,7656) x common factors =8 x 1 = 8

LCM(688,7656) = ( 688 × 7656 ) / 8

LCM(688,7656) = 5267328 / 8

LCM(688,7656) = 658416

∴ Least Common Multiple of 688,7656 is 658416

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 688, 7656

1. What is the LCM of 688, 7656?

Answer: LCM of 688, 7656 is 658416.

2. What are the Factors of 658416?

Answer: Factors of 658416 are . There are integers that are factors of 658416

3. How to Find the LCM of 688, 7656 ?

Least Common Multiple of 688, 7656.

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(688, 7656) = 2 x 2 x 2 x 2 x 3 x 11 x 29 x 43 = 658416.