Least Common Multiple of 57/54, 39/59, 22/12, 76/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/54, 39/59, 22/12, 76/124 quickly i.e. 32604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/54, 39/59, 22/12, 76/124 is 32604.

LCM(57/54, 39/59, 22/12, 76/124) = 32604

LCM of 57/54, 39/59, 22/12, 76/124

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 57/54,39/59,22/12,76/124

Given numbers are 57/54,39/59,22/12,76/124

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 57,39,22,76

Least Common Multiple of Numerators i.e. LCM of 57,39,22,76 is 32604.

GCF of Denominators means GCF of 54,59,12,124 as per the given fractions.

GCF of 54,59,12,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,39,22,76

LCM of Fractions 57/54,39/59,22/12,76/124 is 32604

2 57, 39, 22, 76
3 57, 39, 11, 38
19 19, 13, 11, 38
1, 13, 11, 2

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 13 x 11 x 2 = 32604

Least Common Multiple of 57,39,22,76 with GCF Formula

Least Common Multiple of 57,39,22,76 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 57,39,22,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,39,22,76) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,39,22,76) x common factors =1 x 114 = 114

LCM(57,39,22,76) = ( 57 × 39 × 22 × 76 ) / 114

LCM(57,39,22,76) = 3716856 / 114

LCM(57,39,22,76) = 32604


Lets's calculate GCF of 54,59,12,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32604/1

Therefore the LCM of Fractions 57/54,39/59,22/12,76/124 is 32604

Greatest Common Factor of 54,59,12,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,59,12,124 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 54,59,12,124 . The biggest common factor number is the GCF number.
So the greatest common factor 54,59,12,124 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/54, 39/59, 22/12, 76/124

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 57/54, 39/59, 22/12, 76/124?

Answer: LCM of Numerators as per given numbers 57/54, 39/59, 22/12, 76/124 is

LCM of Numerators i.e. for 57,39,22,76 is 32604

GCF of denominators i.e. for 54,59,12,124 is 1.

Thus, LCM of Fractions is 32604.Finally, LCM of Fractions for 57/54, 39/59, 22/12, 76/124 is 32604.