Least Common Multiple of 766/891, 831/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/891, 831/594 quickly i.e. 636546/297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/891, 831/594 is 636546/297.

LCM(766/891, 831/594) = 636546/297

LCM of 766/891, 831/594

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 766/891,831/594

Given numbers are 766/891,831/594

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 766,831

Least Common Multiple of Numerators i.e. LCM of 766,831 is 636546.

GCF of Denominators means GCF of 891,594 as per the given fractions.

GCF of 891,594 is 297 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,831

LCM of Fractions 766/891,831/594 is 636546/297

Given numbers has no common factors except 1. So, there LCM is their product i.e 636546

Least Common Multiple of 766,831 with GCF Formula

Least Common Multiple of 766,831 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 766,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,831) = 1

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

GCF(766,831) x common factors =1 x 1 = 1

LCM(766,831) = ( 766 × 831 ) / 1

LCM(766,831) = 636546 / 1

LCM(766,831) = 636546


Lets's calculate GCF of 891,594

3 891, 594
3 297, 198
3 99, 66
11 33, 22
3, 2

∴ So the GCF of the given numbers is 3 x 3 x 3 x 11 = 297

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 636546/297

Therefore the LCM of Fractions 766/891,831/594 is 636546/297

Greatest Common Factor of 891,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,594 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 891,594 . The biggest common factor number is the GCF number.
So the greatest common factor 891,594 is 297.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 766/891, 831/594

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 766/891, 831/594?

Answer: LCM of Numerators as per given numbers 766/891, 831/594 is

LCM of Numerators i.e. for 766,831 is 636546

GCF of denominators i.e. for 891,594 is 297.

Thus, LCM of Fractions is 636546/297.Finally, LCM of Fractions for 766/891, 831/594 is 636546/297.