Least Common Multiple of 82/691, 20/927, 939/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/691, 20/927, 939/674 quickly i.e. 769980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/691, 20/927, 939/674 is 769980.

LCM(82/691, 20/927, 939/674) = 769980

LCM of 82/691, 20/927, 939/674

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 82/691,20/927,939/674

Given numbers are 82/691,20/927,939/674

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 82,20,939

Least Common Multiple of Numerators i.e. LCM of 82,20,939 is 769980.

GCF of Denominators means GCF of 691,927,674 as per the given fractions.

GCF of 691,927,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,20,939

LCM of Fractions 82/691,20/927,939/674 is 769980

2 82, 20, 939
41, 10, 939

∴ So the LCM of the given numbers is 2 x 41 x 10 x 939 = 769980

Least Common Multiple of 82,20,939 with GCF Formula

Least Common Multiple of 82,20,939 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 82,20,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,20,939) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,20,939) x common factors =1 x 2 = 2

LCM(82,20,939) = ( 82 × 20 × 939 ) / 2

LCM(82,20,939) = 1539960 / 2

LCM(82,20,939) = 769980


Lets's calculate GCF of 691,927,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769980/1

Therefore the LCM of Fractions 82/691,20/927,939/674 is 769980

Greatest Common Factor of 691,927,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,927,674 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 691,927,674 . The biggest common factor number is the GCF number.
So the greatest common factor 691,927,674 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/691, 20/927, 939/674

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 82/691, 20/927, 939/674?

Answer: LCM of Numerators as per given numbers 82/691, 20/927, 939/674 is

LCM of Numerators i.e. for 82,20,939 is 769980

GCF of denominators i.e. for 691,927,674 is 1.

Thus, LCM of Fractions is 769980.Finally, LCM of Fractions for 82/691, 20/927, 939/674 is 769980.