Least Common Multiple of 9779/37, 8119/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9779/37, 8119/432 quickly i.e. 79395701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9779/37, 8119/432 is 79395701.

LCM(9779/37, 8119/432) = 79395701

LCM of 9779/37, 8119/432

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 9779/37,8119/432

Given numbers are 9779/37,8119/432

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 9779,8119

Least Common Multiple of Numerators i.e. LCM of 9779,8119 is 79395701.

GCF of Denominators means GCF of 37,432 as per the given fractions.

GCF of 37,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9779,8119

LCM of Fractions 9779/37,8119/432 is 79395701

Given numbers has no common factors except 1. So, there LCM is their product i.e 79395701

Least Common Multiple of 9779,8119 with GCF Formula

Least Common Multiple of 9779,8119 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 9779,8119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9779,8119) = 1

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

GCF(9779,8119) x common factors =1 x 1 = 1

LCM(9779,8119) = ( 9779 × 8119 ) / 1

LCM(9779,8119) = 79395701 / 1

LCM(9779,8119) = 79395701


Lets's calculate GCF of 37,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79395701/1

Therefore the LCM of Fractions 9779/37,8119/432 is 79395701

Greatest Common Factor of 37,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,432 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 37,432 . The biggest common factor number is the GCF number.
So the greatest common factor 37,432 is 1.


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Frequently Asked Questions on Fractional LCM of 9779/37, 8119/432

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 9779/37, 8119/432?

Answer: LCM of Numerators as per given numbers 9779/37, 8119/432 is

LCM of Numerators i.e. for 9779,8119 is 79395701

GCF of denominators i.e. for 37,432 is 1.

Thus, LCM of Fractions is 79395701.Finally, LCM of Fractions for 9779/37, 8119/432 is 79395701.