Least Common Multiple of 108/25, 663/4775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 108/25, 663/4775 quickly i.e. 23868/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/25, 663/4775 is 23868/25.

LCM(108/25, 663/4775) = 23868/25

LCM of 108/25, 663/4775

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 108/25,663/4775

Given numbers are 108/25,663/4775

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 108,663

Least Common Multiple of Numerators i.e. LCM of 108,663 is 23868.

GCF of Denominators means GCF of 25,4775 as per the given fractions.

GCF of 25,4775 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,663

LCM of Fractions 108/25,663/4775 is 23868/25

3 108, 663
36, 221

∴ So the LCM of the given numbers is 3 x 36 x 221 = 23868

Least Common Multiple of 108,663 with GCF Formula

Least Common Multiple of 108,663 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 108,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,663) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(108,663) x common factors =3 x 1 = 3

LCM(108,663) = ( 108 × 663 ) / 3

LCM(108,663) = 71604 / 3

LCM(108,663) = 23868


Lets's calculate GCF of 25,4775

5 25, 4775
5 5, 955
1, 191

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23868/25

Therefore the LCM of Fractions 108/25,663/4775 is 23868/25

Greatest Common Factor of 25,4775 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,4775 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1,5,25,191,955,4775

Greatest Common Factor

We found the factors 25,4775 . The biggest common factor number is the GCF number.
So the greatest common factor 25,4775 is 25.


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 108/25, 663/4775

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 108/25, 663/4775?

Answer: LCM of Numerators as per given numbers 108/25, 663/4775 is

LCM of Numerators i.e. for 108,663 is 23868

GCF of denominators i.e. for 25,4775 is 25.

Thus, LCM of Fractions is 23868/25.Finally, LCM of Fractions for 108/25, 663/4775 is 23868/25.