Least Common Multiple of 2661/275, 5512/9131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2661/275, 5512/9131 quickly i.e. 14667432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2661/275, 5512/9131 is 14667432.

LCM(2661/275, 5512/9131) = 14667432

LCM of 2661/275, 5512/9131

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 2661/275,5512/9131

Given numbers are 2661/275,5512/9131

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 2661,5512

Least Common Multiple of Numerators i.e. LCM of 2661,5512 is 14667432.

GCF of Denominators means GCF of 275,9131 as per the given fractions.

GCF of 275,9131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2661,5512

LCM of Fractions 2661/275,5512/9131 is 14667432

Given numbers has no common factors except 1. So, there LCM is their product i.e 14667432

Least Common Multiple of 2661,5512 with GCF Formula

Least Common Multiple of 2661,5512 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 2661,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2661,5512) = 1

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

GCF(2661,5512) x common factors =1 x 1 = 1

LCM(2661,5512) = ( 2661 × 5512 ) / 1

LCM(2661,5512) = 14667432 / 1

LCM(2661,5512) = 14667432


Lets's calculate GCF of 275,9131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14667432/1

Therefore the LCM of Fractions 2661/275,5512/9131 is 14667432

Greatest Common Factor of 275,9131 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,9131 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 9131

List of positive integer factors of 9131 that divides 9131 without a remainder.

1,23,397,9131

Greatest Common Factor

We found the factors 275,9131 . The biggest common factor number is the GCF number.
So the greatest common factor 275,9131 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2661/275, 5512/9131

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 2661/275, 5512/9131?

Answer: LCM of Numerators as per given numbers 2661/275, 5512/9131 is

LCM of Numerators i.e. for 2661,5512 is 14667432

GCF of denominators i.e. for 275,9131 is 1.

Thus, LCM of Fractions is 14667432.Finally, LCM of Fractions for 2661/275, 5512/9131 is 14667432.