Least Common Multiple of 9342/113, 8877/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9342/113, 8877/152 quickly i.e. 27642978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9342/113, 8877/152 is 27642978.

LCM(9342/113, 8877/152) = 27642978

LCM of 9342/113, 8877/152

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 9342/113,8877/152

Given numbers are 9342/113,8877/152

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 9342,8877

Least Common Multiple of Numerators i.e. LCM of 9342,8877 is 27642978.

GCF of Denominators means GCF of 113,152 as per the given fractions.

GCF of 113,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9342,8877

LCM of Fractions 9342/113,8877/152 is 27642978

3 9342, 8877
3114, 2959

∴ So the LCM of the given numbers is 3 x 3114 x 2959 = 27642978

Least Common Multiple of 9342,8877 with GCF Formula

Least Common Multiple of 9342,8877 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 9342,8877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9342,8877) = 3

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

GCF(9342,8877) x common factors =3 x 1 = 3

LCM(9342,8877) = ( 9342 × 8877 ) / 3

LCM(9342,8877) = 82928934 / 3

LCM(9342,8877) = 27642978


Lets's calculate GCF of 113,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27642978/1

Therefore the LCM of Fractions 9342/113,8877/152 is 27642978

Greatest Common Factor of 113,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,152 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 113,152 . The biggest common factor number is the GCF number.
So the greatest common factor 113,152 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9342/113, 8877/152

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 9342/113, 8877/152?

Answer: LCM of Numerators as per given numbers 9342/113, 8877/152 is

LCM of Numerators i.e. for 9342,8877 is 27642978

GCF of denominators i.e. for 113,152 is 1.

Thus, LCM of Fractions is 27642978.Finally, LCM of Fractions for 9342/113, 8877/152 is 27642978.