Least Common Multiple of 108/20, 238/83, 845/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 108/20, 238/83, 845/732 quickly i.e. 10859940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/20, 238/83, 845/732 is 10859940.

LCM(108/20, 238/83, 845/732) = 10859940

LCM of 108/20, 238/83, 845/732

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 108/20,238/83,845/732

Given numbers are 108/20,238/83,845/732

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 108,238,845

Least Common Multiple of Numerators i.e. LCM of 108,238,845 is 10859940.

GCF of Denominators means GCF of 20,83,732 as per the given fractions.

GCF of 20,83,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,238,845

LCM of Fractions 108/20,238/83,845/732 is 10859940

2 108, 238, 845
54, 119, 845

∴ So the LCM of the given numbers is 2 x 54 x 119 x 845 = 10859940

Least Common Multiple of 108,238,845 with GCF Formula

Least Common Multiple of 108,238,845 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 108,238,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,238,845) = 1

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

GCF(108,238,845) x common factors =1 x 2 = 2

LCM(108,238,845) = ( 108 × 238 × 845 ) / 2

LCM(108,238,845) = 21719880 / 2

LCM(108,238,845) = 10859940


Lets's calculate GCF of 20,83,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10859940/1

Therefore the LCM of Fractions 108/20,238/83,845/732 is 10859940

Greatest Common Factor of 20,83,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,83,732 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 20,83,732 . The biggest common factor number is the GCF number.
So the greatest common factor 20,83,732 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 108/20, 238/83, 845/732

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 108/20, 238/83, 845/732?

Answer: LCM of Numerators as per given numbers 108/20, 238/83, 845/732 is

LCM of Numerators i.e. for 108,238,845 is 10859940

GCF of denominators i.e. for 20,83,732 is 1.

Thus, LCM of Fractions is 10859940.Finally, LCM of Fractions for 108/20, 238/83, 845/732 is 10859940.