Least Common Multiple of 766/492, 657/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/492, 657/972 quickly i.e. 503262/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/492, 657/972 is 503262/12.

LCM(766/492, 657/972) = 503262/12

LCM of 766/492, 657/972

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 766/492,657/972

Given numbers are 766/492,657/972

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 766,657

Least Common Multiple of Numerators i.e. LCM of 766,657 is 503262.

GCF of Denominators means GCF of 492,972 as per the given fractions.

GCF of 492,972 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,657

LCM of Fractions 766/492,657/972 is 503262/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 503262

Least Common Multiple of 766,657 with GCF Formula

Least Common Multiple of 766,657 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 766,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,657) = 1

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

GCF(766,657) x common factors =1 x 1 = 1

LCM(766,657) = ( 766 × 657 ) / 1

LCM(766,657) = 503262 / 1

LCM(766,657) = 503262


Lets's calculate GCF of 492,972

2 492, 972
2 246, 486
3 123, 243
41, 81

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503262/12

Therefore the LCM of Fractions 766/492,657/972 is 503262/12

Greatest Common Factor of 492,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,972 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 492,972 . The biggest common factor number is the GCF number.
So the greatest common factor 492,972 is 12.


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 766/492, 657/972

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 766/492, 657/972?

Answer: LCM of Numerators as per given numbers 766/492, 657/972 is

LCM of Numerators i.e. for 766,657 is 503262

GCF of denominators i.e. for 492,972 is 12.

Thus, LCM of Fractions is 503262/12.Finally, LCM of Fractions for 766/492, 657/972 is 503262/12.