Least Common Multiple of 83/957, 8773/9812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/957, 8773/9812 quickly i.e. 728159/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/957, 8773/9812 is 728159/11.

LCM(83/957, 8773/9812) = 728159/11

LCM of 83/957, 8773/9812

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 83/957,8773/9812

Given numbers are 83/957,8773/9812

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 83,8773

Least Common Multiple of Numerators i.e. LCM of 83,8773 is 728159.

GCF of Denominators means GCF of 957,9812 as per the given fractions.

GCF of 957,9812 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,8773

LCM of Fractions 83/957,8773/9812 is 728159/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 728159

Least Common Multiple of 83,8773 with GCF Formula

Least Common Multiple of 83,8773 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 83,8773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,8773) = 1

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

GCF(83,8773) x common factors =1 x 1 = 1

LCM(83,8773) = ( 83 × 8773 ) / 1

LCM(83,8773) = 728159 / 1

LCM(83,8773) = 728159


Lets's calculate GCF of 957,9812

11 957, 9812
87, 892

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 728159/11

Therefore the LCM of Fractions 83/957,8773/9812 is 728159/11

Greatest Common Factor of 957,9812 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,9812 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Greatest Common Factor

We found the factors 957,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 957,9812 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/957, 8773/9812

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 83/957, 8773/9812?

Answer: LCM of Numerators as per given numbers 83/957, 8773/9812 is

LCM of Numerators i.e. for 83,8773 is 728159

GCF of denominators i.e. for 957,9812 is 11.

Thus, LCM of Fractions is 728159/11.Finally, LCM of Fractions for 83/957, 8773/9812 is 728159/11.