Least Common Multiple of 261/764, 8861/3171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/764, 8861/3171 quickly i.e. 2312721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/764, 8861/3171 is 2312721.

LCM(261/764, 8861/3171) = 2312721

LCM of 261/764, 8861/3171

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 261/764,8861/3171

Given numbers are 261/764,8861/3171

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 261,8861

Least Common Multiple of Numerators i.e. LCM of 261,8861 is 2312721.

GCF of Denominators means GCF of 764,3171 as per the given fractions.

GCF of 764,3171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,8861

LCM of Fractions 261/764,8861/3171 is 2312721

Given numbers has no common factors except 1. So, there LCM is their product i.e 2312721

Least Common Multiple of 261,8861 with GCF Formula

Least Common Multiple of 261,8861 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 261,8861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,8861) = 1

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

GCF(261,8861) x common factors =1 x 1 = 1

LCM(261,8861) = ( 261 × 8861 ) / 1

LCM(261,8861) = 2312721 / 1

LCM(261,8861) = 2312721


Lets's calculate GCF of 764,3171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2312721/1

Therefore the LCM of Fractions 261/764,8861/3171 is 2312721

Greatest Common Factor of 764,3171 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,3171 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

Greatest Common Factor

We found the factors 764,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 764,3171 is 1.


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 261/764, 8861/3171

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 261/764, 8861/3171?

Answer: LCM of Numerators as per given numbers 261/764, 8861/3171 is

LCM of Numerators i.e. for 261,8861 is 2312721

GCF of denominators i.e. for 764,3171 is 1.

Thus, LCM of Fractions is 2312721.Finally, LCM of Fractions for 261/764, 8861/3171 is 2312721.