Least Common Multiple of 766/873, 363/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/873, 363/261 quickly i.e. 278058/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/873, 363/261 is 278058/9.

LCM(766/873, 363/261) = 278058/9

LCM of 766/873, 363/261

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 766/873,363/261

Given numbers are 766/873,363/261

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 766,363

Least Common Multiple of Numerators i.e. LCM of 766,363 is 278058.

GCF of Denominators means GCF of 873,261 as per the given fractions.

GCF of 873,261 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,363

LCM of Fractions 766/873,363/261 is 278058/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 278058

Least Common Multiple of 766,363 with GCF Formula

Least Common Multiple of 766,363 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 766,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,363) = 1

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

GCF(766,363) x common factors =1 x 1 = 1

LCM(766,363) = ( 766 × 363 ) / 1

LCM(766,363) = 278058 / 1

LCM(766,363) = 278058


Lets's calculate GCF of 873,261

3 873, 261
3 291, 87
97, 29

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278058/9

Therefore the LCM of Fractions 766/873,363/261 is 278058/9

Greatest Common Factor of 873,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,261 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 873,261 . The biggest common factor number is the GCF number.
So the greatest common factor 873,261 is 9.


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 766/873, 363/261

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 766/873, 363/261?

Answer: LCM of Numerators as per given numbers 766/873, 363/261 is

LCM of Numerators i.e. for 766,363 is 278058

GCF of denominators i.e. for 873,261 is 9.

Thus, LCM of Fractions is 278058/9.Finally, LCM of Fractions for 766/873, 363/261 is 278058/9.