Least Common Multiple of 876/45, 261/7089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/45, 261/7089 quickly i.e. 25404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/45, 261/7089 is 25404.

LCM(876/45, 261/7089) = 25404

LCM of 876/45, 261/7089

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 876/45,261/7089

Given numbers are 876/45,261/7089

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 876,261

Least Common Multiple of Numerators i.e. LCM of 876,261 is 76212.

GCF of Denominators means GCF of 45,7089 as per the given fractions.

GCF of 45,7089 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,261

LCM of Fractions 876/45,261/7089 is 25404

3 876, 261
292, 87

∴ So the LCM of the given numbers is 3 x 292 x 87 = 76212

Least Common Multiple of 876,261 with GCF Formula

Least Common Multiple of 876,261 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 876,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,261) = 3

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

GCF(876,261) x common factors =3 x 1 = 3

LCM(876,261) = ( 876 × 261 ) / 3

LCM(876,261) = 228636 / 3

LCM(876,261) = 76212


Lets's calculate GCF of 45,7089

3 45, 7089
15, 2363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76212/3

Therefore the LCM of Fractions 876/45,261/7089 is 25404

Greatest Common Factor of 45,7089 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,7089 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1,3,17,51,139,417,2363,7089

Greatest Common Factor

We found the factors 45,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7089 is 3.


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 876/45, 261/7089

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 876/45, 261/7089?

Answer: LCM of Numerators as per given numbers 876/45, 261/7089 is

LCM of Numerators i.e. for 876,261 is 76212

GCF of denominators i.e. for 45,7089 is 3.

Thus, LCM of Fractions is 25404.Finally, LCM of Fractions for 876/45, 261/7089 is 25404.