Least Common Multiple of 52/50, 26/12, 58/79, 28/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/50, 26/12, 58/79, 28/368 quickly i.e. 10556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/50, 26/12, 58/79, 28/368 is 10556.

LCM(52/50, 26/12, 58/79, 28/368) = 10556

LCM of 52/50, 26/12, 58/79, 28/368

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 52/50,26/12,58/79,28/368

Given numbers are 52/50,26/12,58/79,28/368

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 52,26,58,28

Least Common Multiple of Numerators i.e. LCM of 52,26,58,28 is 10556.

GCF of Denominators means GCF of 50,12,79,368 as per the given fractions.

GCF of 50,12,79,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,26,58,28

LCM of Fractions 52/50,26/12,58/79,28/368 is 10556

2 52, 26, 58, 28
2 26, 13, 29, 14
13 13, 13, 29, 7
1, 1, 29, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 1 x 29 x 7 = 10556

Least Common Multiple of 52,26,58,28 with GCF Formula

Least Common Multiple of 52,26,58,28 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 52,26,58,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,26,58,28) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(52,26,58,28) x common factors =2 x 104 = 208

LCM(52,26,58,28) = ( 52 × 26 × 58 × 28 ) / 208

LCM(52,26,58,28) = 2195648 / 208

LCM(52,26,58,28) = 10556


Lets's calculate GCF of 50,12,79,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10556/1

Therefore the LCM of Fractions 52/50,26/12,58/79,28/368 is 10556

Greatest Common Factor of 50,12,79,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,12,79,368 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 12

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

1,2,3,4,6,12

Factors of 79

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

1,79

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 50,12,79,368 . The biggest common factor number is the GCF number.
So the greatest common factor 50,12,79,368 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 52/50, 26/12, 58/79, 28/368

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 52/50, 26/12, 58/79, 28/368?

Answer: LCM of Numerators as per given numbers 52/50, 26/12, 58/79, 28/368 is

LCM of Numerators i.e. for 52,26,58,28 is 10556

GCF of denominators i.e. for 50,12,79,368 is 1.

Thus, LCM of Fractions is 10556.Finally, LCM of Fractions for 52/50, 26/12, 58/79, 28/368 is 10556.