Least Common Multiple of 27/249, 173/272, 667/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/249, 173/272, 667/538 quickly i.e. 3115557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/249, 173/272, 667/538 is 3115557.

LCM(27/249, 173/272, 667/538) = 3115557

LCM of 27/249, 173/272, 667/538

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 27/249,173/272,667/538

Given numbers are 27/249,173/272,667/538

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 27,173,667

Least Common Multiple of Numerators i.e. LCM of 27,173,667 is 3115557.

GCF of Denominators means GCF of 249,272,538 as per the given fractions.

GCF of 249,272,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,173,667

LCM of Fractions 27/249,173/272,667/538 is 3115557

Given numbers has no common factors except 1. So, there LCM is their product i.e 3115557

Least Common Multiple of 27,173,667 with GCF Formula

Least Common Multiple of 27,173,667 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 27,173,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,173,667) = 1

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

GCF(27,173,667) x common factors =1 x 1 = 1

LCM(27,173,667) = ( 27 × 173 × 667 ) / 1

LCM(27,173,667) = 3115557 / 1

LCM(27,173,667) = 3115557


Lets's calculate GCF of 249,272,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3115557/1

Therefore the LCM of Fractions 27/249,173/272,667/538 is 3115557

Greatest Common Factor of 249,272,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,272,538 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 249,272,538 . The biggest common factor number is the GCF number.
So the greatest common factor 249,272,538 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 27/249, 173/272, 667/538

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 27/249, 173/272, 667/538?

Answer: LCM of Numerators as per given numbers 27/249, 173/272, 667/538 is

LCM of Numerators i.e. for 27,173,667 is 3115557

GCF of denominators i.e. for 249,272,538 is 1.

Thus, LCM of Fractions is 3115557.Finally, LCM of Fractions for 27/249, 173/272, 667/538 is 3115557.