Least Common Multiple of 9679/688, 7896/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9679/688, 7896/822 quickly i.e. 38212692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9679/688, 7896/822 is 38212692.

LCM(9679/688, 7896/822) = 38212692

LCM of 9679/688, 7896/822

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9679/688,7896/822

Given numbers are 9679/688,7896/822

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9679,7896

Least Common Multiple of Numerators i.e. LCM of 9679,7896 is 76425384.

GCF of Denominators means GCF of 688,822 as per the given fractions.

GCF of 688,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9679,7896

LCM of Fractions 9679/688,7896/822 is 38212692

Given numbers has no common factors except 1. So, there LCM is their product i.e 76425384

Least Common Multiple of 9679,7896 with GCF Formula

Least Common Multiple of 9679,7896 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 9679,7896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9679,7896) = 1

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

GCF(9679,7896) x common factors =1 x 1 = 1

LCM(9679,7896) = ( 9679 × 7896 ) / 1

LCM(9679,7896) = 76425384 / 1

LCM(9679,7896) = 76425384


Lets's calculate GCF of 688,822

2 688, 822
344, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76425384/2

Therefore the LCM of Fractions 9679/688,7896/822 is 38212692

Greatest Common Factor of 688,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,822 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 688,822 . The biggest common factor number is the GCF number.
So the greatest common factor 688,822 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9679/688, 7896/822

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9679/688, 7896/822?

Answer: LCM of Numerators as per given numbers 9679/688, 7896/822 is

LCM of Numerators i.e. for 9679,7896 is 76425384

GCF of denominators i.e. for 688,822 is 2.

Thus, LCM of Fractions is 38212692.Finally, LCM of Fractions for 9679/688, 7896/822 is 38212692.