Least Common Multiple of 7079/78, 5408/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7079/78, 5408/913 quickly i.e. 38283232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7079/78, 5408/913 is 38283232.

LCM(7079/78, 5408/913) = 38283232

LCM of 7079/78, 5408/913

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 7079/78,5408/913

Given numbers are 7079/78,5408/913

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 7079,5408

Least Common Multiple of Numerators i.e. LCM of 7079,5408 is 38283232.

GCF of Denominators means GCF of 78,913 as per the given fractions.

GCF of 78,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7079,5408

LCM of Fractions 7079/78,5408/913 is 38283232

Given numbers has no common factors except 1. So, there LCM is their product i.e 38283232

Least Common Multiple of 7079,5408 with GCF Formula

Least Common Multiple of 7079,5408 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 7079,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7079,5408) = 1

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

GCF(7079,5408) x common factors =1 x 1 = 1

LCM(7079,5408) = ( 7079 × 5408 ) / 1

LCM(7079,5408) = 38283232 / 1

LCM(7079,5408) = 38283232


Lets's calculate GCF of 78,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38283232/1

Therefore the LCM of Fractions 7079/78,5408/913 is 38283232

Greatest Common Factor of 78,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,913 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 78,913 . The biggest common factor number is the GCF number.
So the greatest common factor 78,913 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7079/78, 5408/913

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 7079/78, 5408/913?

Answer: LCM of Numerators as per given numbers 7079/78, 5408/913 is

LCM of Numerators i.e. for 7079,5408 is 38283232

GCF of denominators i.e. for 78,913 is 1.

Thus, LCM of Fractions is 38283232.Finally, LCM of Fractions for 7079/78, 5408/913 is 38283232.