Least Common Multiple of 2961/81, 9161/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2961/81, 9161/187 quickly i.e. 27125721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2961/81, 9161/187 is 27125721.

LCM(2961/81, 9161/187) = 27125721

LCM of 2961/81, 9161/187

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 2961/81,9161/187

Given numbers are 2961/81,9161/187

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 2961,9161

Least Common Multiple of Numerators i.e. LCM of 2961,9161 is 27125721.

GCF of Denominators means GCF of 81,187 as per the given fractions.

GCF of 81,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2961,9161

LCM of Fractions 2961/81,9161/187 is 27125721

Given numbers has no common factors except 1. So, there LCM is their product i.e 27125721

Least Common Multiple of 2961,9161 with GCF Formula

Least Common Multiple of 2961,9161 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 2961,9161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2961,9161) = 1

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

GCF(2961,9161) x common factors =1 x 1 = 1

LCM(2961,9161) = ( 2961 × 9161 ) / 1

LCM(2961,9161) = 27125721 / 1

LCM(2961,9161) = 27125721


Lets's calculate GCF of 81,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27125721/1

Therefore the LCM of Fractions 2961/81,9161/187 is 27125721

Greatest Common Factor of 81,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,187 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 81,187 . The biggest common factor number is the GCF number.
So the greatest common factor 81,187 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2961/81, 9161/187

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 2961/81, 9161/187?

Answer: LCM of Numerators as per given numbers 2961/81, 9161/187 is

LCM of Numerators i.e. for 2961,9161 is 27125721

GCF of denominators i.e. for 81,187 is 1.

Thus, LCM of Fractions is 27125721.Finally, LCM of Fractions for 2961/81, 9161/187 is 27125721.