Least Common Multiple of 279/11, 813/6116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/11, 813/6116 quickly i.e. 75609/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/11, 813/6116 is 75609/11.

LCM(279/11, 813/6116) = 75609/11

LCM of 279/11, 813/6116

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 279/11,813/6116

Given numbers are 279/11,813/6116

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 279,813

Least Common Multiple of Numerators i.e. LCM of 279,813 is 75609.

GCF of Denominators means GCF of 11,6116 as per the given fractions.

GCF of 11,6116 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,813

LCM of Fractions 279/11,813/6116 is 75609/11

3 279, 813
93, 271

∴ So the LCM of the given numbers is 3 x 93 x 271 = 75609

Least Common Multiple of 279,813 with GCF Formula

Least Common Multiple of 279,813 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 279,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,813) = 3

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

GCF(279,813) x common factors =3 x 1 = 3

LCM(279,813) = ( 279 × 813 ) / 3

LCM(279,813) = 226827 / 3

LCM(279,813) = 75609


Lets's calculate GCF of 11,6116

11 11, 6116
1, 556

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75609/11

Therefore the LCM of Fractions 279/11,813/6116 is 75609/11

Greatest Common Factor of 11,6116 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,6116 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1,2,4,11,22,44,139,278,556,1529,3058,6116

Greatest Common Factor

We found the factors 11,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 11,6116 is 11.


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 279/11, 813/6116

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 279/11, 813/6116?

Answer: LCM of Numerators as per given numbers 279/11, 813/6116 is

LCM of Numerators i.e. for 279,813 is 75609

GCF of denominators i.e. for 11,6116 is 11.

Thus, LCM of Fractions is 75609/11.Finally, LCM of Fractions for 279/11, 813/6116 is 75609/11.