Least Common Multiple of 5/108, 82/213, 28/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/108, 82/213, 28/638 quickly i.e. 5740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/108, 82/213, 28/638 is 5740.

LCM(5/108, 82/213, 28/638) = 5740

LCM of 5/108, 82/213, 28/638

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 5/108,82/213,28/638

Given numbers are 5/108,82/213,28/638

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 5,82,28

Least Common Multiple of Numerators i.e. LCM of 5,82,28 is 5740.

GCF of Denominators means GCF of 108,213,638 as per the given fractions.

GCF of 108,213,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,82,28

LCM of Fractions 5/108,82/213,28/638 is 5740

2 5, 82, 28
5, 41, 14

∴ So the LCM of the given numbers is 2 x 5 x 41 x 14 = 5740

Least Common Multiple of 5,82,28 with GCF Formula

Least Common Multiple of 5,82,28 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 5,82,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,82,28) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(5,82,28) x common factors =1 x 2 = 2

LCM(5,82,28) = ( 5 × 82 × 28 ) / 2

LCM(5,82,28) = 11480 / 2

LCM(5,82,28) = 5740


Lets's calculate GCF of 108,213,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5740/1

Therefore the LCM of Fractions 5/108,82/213,28/638 is 5740

Greatest Common Factor of 108,213,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,213,638 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 108,213,638 . The biggest common factor number is the GCF number.
So the greatest common factor 108,213,638 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 5/108, 82/213, 28/638

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 5/108, 82/213, 28/638?

Answer: LCM of Numerators as per given numbers 5/108, 82/213, 28/638 is

LCM of Numerators i.e. for 5,82,28 is 5740

GCF of denominators i.e. for 108,213,638 is 1.

Thus, LCM of Fractions is 5740.Finally, LCM of Fractions for 5/108, 82/213, 28/638 is 5740.