Least Common Multiple of 3118/279, 7312/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3118/279, 7312/724 quickly i.e. 11399408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3118/279, 7312/724 is 11399408.

LCM(3118/279, 7312/724) = 11399408

LCM of 3118/279, 7312/724

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 3118/279,7312/724

Given numbers are 3118/279,7312/724

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 3118,7312

Least Common Multiple of Numerators i.e. LCM of 3118,7312 is 11399408.

GCF of Denominators means GCF of 279,724 as per the given fractions.

GCF of 279,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3118,7312

LCM of Fractions 3118/279,7312/724 is 11399408

2 3118, 7312
1559, 3656

∴ So the LCM of the given numbers is 2 x 1559 x 3656 = 11399408

Least Common Multiple of 3118,7312 with GCF Formula

Least Common Multiple of 3118,7312 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 3118,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3118,7312) = 2

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

GCF(3118,7312) x common factors =2 x 1 = 2

LCM(3118,7312) = ( 3118 × 7312 ) / 2

LCM(3118,7312) = 22798816 / 2

LCM(3118,7312) = 11399408


Lets's calculate GCF of 279,724

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11399408/1

Therefore the LCM of Fractions 3118/279,7312/724 is 11399408

Greatest Common Factor of 279,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,724 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 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 279,724 . The biggest common factor number is the GCF number.
So the greatest common factor 279,724 is 1.


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 3118/279, 7312/724

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 3118/279, 7312/724?

Answer: LCM of Numerators as per given numbers 3118/279, 7312/724 is

LCM of Numerators i.e. for 3118,7312 is 11399408

GCF of denominators i.e. for 279,724 is 1.

Thus, LCM of Fractions is 11399408.Finally, LCM of Fractions for 3118/279, 7312/724 is 11399408.