Least Common Multiple of 58/48, 57/79, 54/20, 38/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/48, 57/79, 54/20, 38/202 quickly i.e. 29754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/48, 57/79, 54/20, 38/202 is 29754.

LCM(58/48, 57/79, 54/20, 38/202) = 29754

LCM of 58/48, 57/79, 54/20, 38/202

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 58/48,57/79,54/20,38/202

Given numbers are 58/48,57/79,54/20,38/202

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 58,57,54,38

Least Common Multiple of Numerators i.e. LCM of 58,57,54,38 is 29754.

GCF of Denominators means GCF of 48,79,20,202 as per the given fractions.

GCF of 48,79,20,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,57,54,38

LCM of Fractions 58/48,57/79,54/20,38/202 is 29754

2 58, 57, 54, 38
3 29, 57, 27, 19
19 29, 19, 9, 19
29, 1, 9, 1

∴ So the LCM of the given numbers is 2 x 3 x 19 x 29 x 1 x 9 x 1 = 29754

Least Common Multiple of 58,57,54,38 with GCF Formula

Least Common Multiple of 58,57,54,38 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 58,57,54,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,57,54,38) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(58,57,54,38) x common factors =1 x 228 = 228

LCM(58,57,54,38) = ( 58 × 57 × 54 × 38 ) / 228

LCM(58,57,54,38) = 6783912 / 228

LCM(58,57,54,38) = 29754


Lets's calculate GCF of 48,79,20,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29754/1

Therefore the LCM of Fractions 58/48,57/79,54/20,38/202 is 29754

Greatest Common Factor of 48,79,20,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,79,20,202 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 48,79,20,202 . The biggest common factor number is the GCF number.
So the greatest common factor 48,79,20,202 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 58/48, 57/79, 54/20, 38/202

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 58/48, 57/79, 54/20, 38/202?

Answer: LCM of Numerators as per given numbers 58/48, 57/79, 54/20, 38/202 is

LCM of Numerators i.e. for 58,57,54,38 is 29754

GCF of denominators i.e. for 48,79,20,202 is 1.

Thus, LCM of Fractions is 29754.Finally, LCM of Fractions for 58/48, 57/79, 54/20, 38/202 is 29754.