Least Common Multiple of 5279/268, 9178/5918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5279/268, 9178/5918 quickly i.e. 24225331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5279/268, 9178/5918 is 24225331.

LCM(5279/268, 9178/5918) = 24225331

LCM of 5279/268, 9178/5918

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 5279/268,9178/5918

Given numbers are 5279/268,9178/5918

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 5279,9178

Least Common Multiple of Numerators i.e. LCM of 5279,9178 is 48450662.

GCF of Denominators means GCF of 268,5918 as per the given fractions.

GCF of 268,5918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5279,9178

LCM of Fractions 5279/268,9178/5918 is 24225331

Given numbers has no common factors except 1. So, there LCM is their product i.e 48450662

Least Common Multiple of 5279,9178 with GCF Formula

Least Common Multiple of 5279,9178 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 5279,9178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5279,9178) = 1

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

GCF(5279,9178) x common factors =1 x 1 = 1

LCM(5279,9178) = ( 5279 × 9178 ) / 1

LCM(5279,9178) = 48450662 / 1

LCM(5279,9178) = 48450662


Lets's calculate GCF of 268,5918

2 268, 5918
134, 2959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48450662/2

Therefore the LCM of Fractions 5279/268,9178/5918 is 24225331

Greatest Common Factor of 268,5918 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,5918 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Greatest Common Factor

We found the factors 268,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 268,5918 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 5279/268, 9178/5918

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 5279/268, 9178/5918?

Answer: LCM of Numerators as per given numbers 5279/268, 9178/5918 is

LCM of Numerators i.e. for 5279,9178 is 48450662

GCF of denominators i.e. for 268,5918 is 2.

Thus, LCM of Fractions is 24225331.Finally, LCM of Fractions for 5279/268, 9178/5918 is 24225331.