Least Common Multiple of 79/38, 12/76, 54/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/38, 12/76, 54/252 quickly i.e. 4266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/38, 12/76, 54/252 is 4266.

LCM(79/38, 12/76, 54/252) = 4266

LCM of 79/38, 12/76, 54/252

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 79/38,12/76,54/252

Given numbers are 79/38,12/76,54/252

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 79,12,54

Least Common Multiple of Numerators i.e. LCM of 79,12,54 is 8532.

GCF of Denominators means GCF of 38,76,252 as per the given fractions.

GCF of 38,76,252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,12,54

LCM of Fractions 79/38,12/76,54/252 is 4266

2 79, 12, 54
3 79, 6, 27
79, 2, 9

∴ So the LCM of the given numbers is 2 x 3 x 79 x 2 x 9 = 8532

Least Common Multiple of 79,12,54 with GCF Formula

Least Common Multiple of 79,12,54 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 79,12,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,12,54) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(79,12,54) x common factors =1 x 6 = 6

LCM(79,12,54) = ( 79 × 12 × 54 ) / 6

LCM(79,12,54) = 51192 / 6

LCM(79,12,54) = 8532


Lets's calculate GCF of 38,76,252

2 38, 76, 252
19, 38, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8532/2

Therefore the LCM of Fractions 79/38,12/76,54/252 is 4266

Greatest Common Factor of 38,76,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,76,252 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 38,76,252 . The biggest common factor number is the GCF number.
So the greatest common factor 38,76,252 is 2.


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 79/38, 12/76, 54/252

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 79/38, 12/76, 54/252?

Answer: LCM of Numerators as per given numbers 79/38, 12/76, 54/252 is

LCM of Numerators i.e. for 79,12,54 is 8532

GCF of denominators i.e. for 38,76,252 is 2.

Thus, LCM of Fractions is 4266.Finally, LCM of Fractions for 79/38, 12/76, 54/252 is 4266.