Least Common Multiple of 131/79, 138/5620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 131/79, 138/5620 quickly i.e. 18078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/79, 138/5620 is 18078.

LCM(131/79, 138/5620) = 18078

LCM of 131/79, 138/5620

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 131/79,138/5620

Given numbers are 131/79,138/5620

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 131,138

Least Common Multiple of Numerators i.e. LCM of 131,138 is 18078.

GCF of Denominators means GCF of 79,5620 as per the given fractions.

GCF of 79,5620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,138

LCM of Fractions 131/79,138/5620 is 18078

Given numbers has no common factors except 1. So, there LCM is their product i.e 18078

Least Common Multiple of 131,138 with GCF Formula

Least Common Multiple of 131,138 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 131,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,138) = 1

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

GCF(131,138) x common factors =1 x 1 = 1

LCM(131,138) = ( 131 × 138 ) / 1

LCM(131,138) = 18078 / 1

LCM(131,138) = 18078


Lets's calculate GCF of 79,5620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18078/1

Therefore the LCM of Fractions 131/79,138/5620 is 18078

Greatest Common Factor of 79,5620 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,5620 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 5620

List of positive integer factors of 5620 that divides 5620 without a remainder.

1,2,4,5,10,20,281,562,1124,1405,2810,5620

Greatest Common Factor

We found the factors 79,5620 . The biggest common factor number is the GCF number.
So the greatest common factor 79,5620 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 131/79, 138/5620

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 131/79, 138/5620?

Answer: LCM of Numerators as per given numbers 131/79, 138/5620 is

LCM of Numerators i.e. for 131,138 is 18078

GCF of denominators i.e. for 79,5620 is 1.

Thus, LCM of Fractions is 18078.Finally, LCM of Fractions for 131/79, 138/5620 is 18078.