Least Common Multiple of 3297/279, 7959/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3297/279, 7959/868 quickly i.e. 1249563/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3297/279, 7959/868 is 1249563/31.

LCM(3297/279, 7959/868) = 1249563/31

LCM of 3297/279, 7959/868

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 3297/279,7959/868

Given numbers are 3297/279,7959/868

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 3297,7959

Least Common Multiple of Numerators i.e. LCM of 3297,7959 is 1249563.

GCF of Denominators means GCF of 279,868 as per the given fractions.

GCF of 279,868 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3297,7959

LCM of Fractions 3297/279,7959/868 is 1249563/31

3 3297, 7959
7 1099, 2653
157, 379

∴ So the LCM of the given numbers is 3 x 7 x 157 x 379 = 1249563

Least Common Multiple of 3297,7959 with GCF Formula

Least Common Multiple of 3297,7959 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 3297,7959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3297,7959) = 21

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

GCF(3297,7959) x common factors =21 x 1 = 21

LCM(3297,7959) = ( 3297 × 7959 ) / 21

LCM(3297,7959) = 26240823 / 21

LCM(3297,7959) = 1249563


Lets's calculate GCF of 279,868

31 279, 868
9, 28

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1249563/31

Therefore the LCM of Fractions 3297/279,7959/868 is 1249563/31

Greatest Common Factor of 279,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,868 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 279,868 . The biggest common factor number is the GCF number.
So the greatest common factor 279,868 is 31.


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 3297/279, 7959/868

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 3297/279, 7959/868?

Answer: LCM of Numerators as per given numbers 3297/279, 7959/868 is

LCM of Numerators i.e. for 3297,7959 is 1249563

GCF of denominators i.e. for 279,868 is 31.

Thus, LCM of Fractions is 1249563/31.Finally, LCM of Fractions for 3297/279, 7959/868 is 1249563/31.