Least Common Multiple of 27/540, 64/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/540, 64/265 quickly i.e. 1728/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/540, 64/265 is 1728/5.

LCM(27/540, 64/265) = 1728/5

LCM of 27/540, 64/265

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 27/540,64/265

Given numbers are 27/540,64/265

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 27,64

Least Common Multiple of Numerators i.e. LCM of 27,64 is 1728.

GCF of Denominators means GCF of 540,265 as per the given fractions.

GCF of 540,265 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,64

LCM of Fractions 27/540,64/265 is 1728/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1728

Least Common Multiple of 27,64 with GCF Formula

Least Common Multiple of 27,64 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 27,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,64) = 1

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

GCF(27,64) x common factors =1 x 1 = 1

LCM(27,64) = ( 27 × 64 ) / 1

LCM(27,64) = 1728 / 1

LCM(27,64) = 1728


Lets's calculate GCF of 540,265

5 540, 265
108, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1728/5

Therefore the LCM of Fractions 27/540,64/265 is 1728/5

Greatest Common Factor of 540,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,265 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 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 540,265 . The biggest common factor number is the GCF number.
So the greatest common factor 540,265 is 5.


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 27/540, 64/265

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 27/540, 64/265?

Answer: LCM of Numerators as per given numbers 27/540, 64/265 is

LCM of Numerators i.e. for 27,64 is 1728

GCF of denominators i.e. for 540,265 is 5.

Thus, LCM of Fractions is 1728/5.Finally, LCM of Fractions for 27/540, 64/265 is 1728/5.