Least Common Multiple of 9791/567, 1286/8082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9791/567, 1286/8082 quickly i.e. 12591226/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9791/567, 1286/8082 is 12591226/9.

LCM(9791/567, 1286/8082) = 12591226/9

LCM of 9791/567, 1286/8082

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 9791/567,1286/8082

Given numbers are 9791/567,1286/8082

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 9791,1286

Least Common Multiple of Numerators i.e. LCM of 9791,1286 is 12591226.

GCF of Denominators means GCF of 567,8082 as per the given fractions.

GCF of 567,8082 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9791,1286

LCM of Fractions 9791/567,1286/8082 is 12591226/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 12591226

Least Common Multiple of 9791,1286 with GCF Formula

Least Common Multiple of 9791,1286 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 9791,1286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9791,1286) = 1

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

GCF(9791,1286) x common factors =1 x 1 = 1

LCM(9791,1286) = ( 9791 × 1286 ) / 1

LCM(9791,1286) = 12591226 / 1

LCM(9791,1286) = 12591226


Lets's calculate GCF of 567,8082

3 567, 8082
3 189, 2694
63, 898

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12591226/9

Therefore the LCM of Fractions 9791/567,1286/8082 is 12591226/9

Greatest Common Factor of 567,8082 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,8082 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 567,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 567,8082 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9791/567, 1286/8082

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 9791/567, 1286/8082?

Answer: LCM of Numerators as per given numbers 9791/567, 1286/8082 is

LCM of Numerators i.e. for 9791,1286 is 12591226

GCF of denominators i.e. for 567,8082 is 9.

Thus, LCM of Fractions is 12591226/9.Finally, LCM of Fractions for 9791/567, 1286/8082 is 12591226/9.