Least Common Multiple of 131/597, 7932/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 131/597, 7932/108 quickly i.e. 346364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/597, 7932/108 is 346364.

LCM(131/597, 7932/108) = 346364

LCM of 131/597, 7932/108

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 131/597,7932/108

Given numbers are 131/597,7932/108

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 131,7932

Least Common Multiple of Numerators i.e. LCM of 131,7932 is 1039092.

GCF of Denominators means GCF of 597,108 as per the given fractions.

GCF of 597,108 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,7932

LCM of Fractions 131/597,7932/108 is 346364

Given numbers has no common factors except 1. So, there LCM is their product i.e 1039092

Least Common Multiple of 131,7932 with GCF Formula

Least Common Multiple of 131,7932 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 131,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,7932) = 1

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

GCF(131,7932) x common factors =1 x 1 = 1

LCM(131,7932) = ( 131 × 7932 ) / 1

LCM(131,7932) = 1039092 / 1

LCM(131,7932) = 1039092


Lets's calculate GCF of 597,108

3 597, 108
199, 36

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1039092/3

Therefore the LCM of Fractions 131/597,7932/108 is 346364

Greatest Common Factor of 597,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,108 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 597,108 . The biggest common factor number is the GCF number.
So the greatest common factor 597,108 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 131/597, 7932/108

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 131/597, 7932/108?

Answer: LCM of Numerators as per given numbers 131/597, 7932/108 is

LCM of Numerators i.e. for 131,7932 is 1039092

GCF of denominators i.e. for 597,108 is 3.

Thus, LCM of Fractions is 346364.Finally, LCM of Fractions for 131/597, 7932/108 is 346364.