Least Common Multiple of 39/272, 123/612, 228/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/272, 123/612, 228/524 quickly i.e. 30381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/272, 123/612, 228/524 is 30381.

LCM(39/272, 123/612, 228/524) = 30381

LCM of 39/272, 123/612, 228/524

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 39/272,123/612,228/524

Given numbers are 39/272,123/612,228/524

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 39,123,228

Least Common Multiple of Numerators i.e. LCM of 39,123,228 is 121524.

GCF of Denominators means GCF of 272,612,524 as per the given fractions.

GCF of 272,612,524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,123,228

LCM of Fractions 39/272,123/612,228/524 is 30381

3 39, 123, 228
13, 41, 76

∴ So the LCM of the given numbers is 3 x 13 x 41 x 76 = 121524

Least Common Multiple of 39,123,228 with GCF Formula

Least Common Multiple of 39,123,228 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 39,123,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,123,228) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(39,123,228) x common factors =3 x 3 = 9

LCM(39,123,228) = ( 39 × 123 × 228 ) / 9

LCM(39,123,228) = 1093716 / 9

LCM(39,123,228) = 121524


Lets's calculate GCF of 272,612,524

2 272, 612, 524
2 136, 306, 262
68, 153, 131

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121524/4

Therefore the LCM of Fractions 39/272,123/612,228/524 is 30381

Greatest Common Factor of 272,612,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,612,524 By Matching Biggest Common Factor Method

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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 272,612,524 . The biggest common factor number is the GCF number.
So the greatest common factor 272,612,524 is 4.


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 39/272, 123/612, 228/524

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 39/272, 123/612, 228/524?

Answer: LCM of Numerators as per given numbers 39/272, 123/612, 228/524 is

LCM of Numerators i.e. for 39,123,228 is 121524

GCF of denominators i.e. for 272,612,524 is 4.

Thus, LCM of Fractions is 30381.Finally, LCM of Fractions for 39/272, 123/612, 228/524 is 30381.