Least Common Multiple of 987/794, 5786/6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 987/794, 5786/6723 quickly i.e. 5710782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/794, 5786/6723 is 5710782.

LCM(987/794, 5786/6723) = 5710782

LCM of 987/794, 5786/6723

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 987/794,5786/6723

Given numbers are 987/794,5786/6723

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 987,5786

Least Common Multiple of Numerators i.e. LCM of 987,5786 is 5710782.

GCF of Denominators means GCF of 794,6723 as per the given fractions.

GCF of 794,6723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,5786

LCM of Fractions 987/794,5786/6723 is 5710782

Given numbers has no common factors except 1. So, there LCM is their product i.e 5710782

Least Common Multiple of 987,5786 with GCF Formula

Least Common Multiple of 987,5786 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 987,5786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,5786) = 1

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

GCF(987,5786) x common factors =1 x 1 = 1

LCM(987,5786) = ( 987 × 5786 ) / 1

LCM(987,5786) = 5710782 / 1

LCM(987,5786) = 5710782


Lets's calculate GCF of 794,6723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5710782/1

Therefore the LCM of Fractions 987/794,5786/6723 is 5710782

Greatest Common Factor of 794,6723 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,6723 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Greatest Common Factor

We found the factors 794,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 794,6723 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 987/794, 5786/6723

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 987/794, 5786/6723?

Answer: LCM of Numerators as per given numbers 987/794, 5786/6723 is

LCM of Numerators i.e. for 987,5786 is 5710782

GCF of denominators i.e. for 794,6723 is 1.

Thus, LCM of Fractions is 5710782.Finally, LCM of Fractions for 987/794, 5786/6723 is 5710782.