Least Common Multiple of 982/657, 5989/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 982/657, 5989/767 quickly i.e. 5881198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/657, 5989/767 is 5881198.

LCM(982/657, 5989/767) = 5881198

LCM of 982/657, 5989/767

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 982/657,5989/767

Given numbers are 982/657,5989/767

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 982,5989

Least Common Multiple of Numerators i.e. LCM of 982,5989 is 5881198.

GCF of Denominators means GCF of 657,767 as per the given fractions.

GCF of 657,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,5989

LCM of Fractions 982/657,5989/767 is 5881198

Given numbers has no common factors except 1. So, there LCM is their product i.e 5881198

Least Common Multiple of 982,5989 with GCF Formula

Least Common Multiple of 982,5989 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 982,5989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,5989) = 1

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

GCF(982,5989) x common factors =1 x 1 = 1

LCM(982,5989) = ( 982 × 5989 ) / 1

LCM(982,5989) = 5881198 / 1

LCM(982,5989) = 5881198


Lets's calculate GCF of 657,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5881198/1

Therefore the LCM of Fractions 982/657,5989/767 is 5881198

Greatest Common Factor of 657,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,767 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 657,767 . The biggest common factor number is the GCF number.
So the greatest common factor 657,767 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 982/657, 5989/767

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 982/657, 5989/767?

Answer: LCM of Numerators as per given numbers 982/657, 5989/767 is

LCM of Numerators i.e. for 982,5989 is 5881198

GCF of denominators i.e. for 657,767 is 1.

Thus, LCM of Fractions is 5881198.Finally, LCM of Fractions for 982/657, 5989/767 is 5881198.