Least Common Multiple of 225/540, 3468/2187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/540, 3468/2187 quickly i.e. 260100/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/540, 3468/2187 is 260100/27.

LCM(225/540, 3468/2187) = 260100/27

LCM of 225/540, 3468/2187

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 225/540,3468/2187

Given numbers are 225/540,3468/2187

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 225,3468

Least Common Multiple of Numerators i.e. LCM of 225,3468 is 260100.

GCF of Denominators means GCF of 540,2187 as per the given fractions.

GCF of 540,2187 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,3468

LCM of Fractions 225/540,3468/2187 is 260100/27

3 225, 3468
75, 1156

∴ So the LCM of the given numbers is 3 x 75 x 1156 = 260100

Least Common Multiple of 225,3468 with GCF Formula

Least Common Multiple of 225,3468 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 225,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,3468) = 3

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

GCF(225,3468) x common factors =3 x 1 = 3

LCM(225,3468) = ( 225 × 3468 ) / 3

LCM(225,3468) = 780300 / 3

LCM(225,3468) = 260100


Lets's calculate GCF of 540,2187

3 540, 2187
3 180, 729
3 60, 243
20, 81

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260100/27

Therefore the LCM of Fractions 225/540,3468/2187 is 260100/27

Greatest Common Factor of 540,2187 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,2187 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 2187

List of positive integer factors of 2187 that divides 2187 without a remainder.

1,3,9,27,81,243,729,2187

Greatest Common Factor

We found the factors 540,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 540,2187 is 27.


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 225/540, 3468/2187

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 225/540, 3468/2187?

Answer: LCM of Numerators as per given numbers 225/540, 3468/2187 is

LCM of Numerators i.e. for 225,3468 is 260100

GCF of denominators i.e. for 540,2187 is 27.

Thus, LCM of Fractions is 260100/27.Finally, LCM of Fractions for 225/540, 3468/2187 is 260100/27.