Least Common Multiple of 688, 3696

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, 3696 i.e. 158928 smallest integer divisible by all numbers.

Least common multiple (LCM) of 688, 3696 is 158928.

LCM(688, 3696) = 158928

LCM of 688, 3696

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

LCM of:

Least Common Multiple of 688,3696

Least Common Multiple (LCM) of 688,3696 is 158928

2 688, 3696
2 344, 1848
2 172, 924
2 86, 462
43, 231

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 231 = 158928

Least Common Multiple of 688,3696 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 688,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,3696) = 16

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

GCF(688,3696) x common factors =16 x 1 = 16

LCM(688,3696) = ( 688 × 3696 ) / 16

LCM(688,3696) = 2542848 / 16

LCM(688,3696) = 158928

∴ Least Common Multiple of 688,3696 is 158928

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 688, 3696

1. What is the LCM of 688, 3696?

Answer: LCM of 688, 3696 is 158928.

2. What are the Factors of 158928?

Answer: Factors of 158928 are . There are integers that are factors of 158928

3. How to Find the LCM of 688, 3696 ?

Least Common Multiple of 688, 3696.

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, 3696) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 43 = 158928.