Least Common Multiple of 57/171, 2601/5148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/171, 2601/5148 quickly i.e. 5491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/171, 2601/5148 is 5491.

LCM(57/171, 2601/5148) = 5491

LCM of 57/171, 2601/5148

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 57/171,2601/5148

Given numbers are 57/171,2601/5148

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 57,2601

Least Common Multiple of Numerators i.e. LCM of 57,2601 is 49419.

GCF of Denominators means GCF of 171,5148 as per the given fractions.

GCF of 171,5148 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,2601

LCM of Fractions 57/171,2601/5148 is 5491

3 57, 2601
19, 867

∴ So the LCM of the given numbers is 3 x 19 x 867 = 49419

Least Common Multiple of 57,2601 with GCF Formula

Least Common Multiple of 57,2601 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 57,2601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,2601) = 3

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

GCF(57,2601) x common factors =3 x 1 = 3

LCM(57,2601) = ( 57 × 2601 ) / 3

LCM(57,2601) = 148257 / 3

LCM(57,2601) = 49419


Lets's calculate GCF of 171,5148

3 171, 5148
3 57, 1716
19, 572

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49419/9

Therefore the LCM of Fractions 57/171,2601/5148 is 5491

Greatest Common Factor of 171,5148 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,5148 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148

Greatest Common Factor

We found the factors 171,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 171,5148 is 9.


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 57/171, 2601/5148

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 57/171, 2601/5148?

Answer: LCM of Numerators as per given numbers 57/171, 2601/5148 is

LCM of Numerators i.e. for 57,2601 is 49419

GCF of denominators i.e. for 171,5148 is 9.

Thus, LCM of Fractions is 5491.Finally, LCM of Fractions for 57/171, 2601/5148 is 5491.