Least Common Multiple of 27/11, 86/81, 53/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/11, 86/81, 53/561 quickly i.e. 123066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/11, 86/81, 53/561 is 123066.

LCM(27/11, 86/81, 53/561) = 123066

LCM of 27/11, 86/81, 53/561

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 27/11,86/81,53/561

Given numbers are 27/11,86/81,53/561

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 27,86,53

Least Common Multiple of Numerators i.e. LCM of 27,86,53 is 123066.

GCF of Denominators means GCF of 11,81,561 as per the given fractions.

GCF of 11,81,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,86,53

LCM of Fractions 27/11,86/81,53/561 is 123066

Given numbers has no common factors except 1. So, there LCM is their product i.e 123066

Least Common Multiple of 27,86,53 with GCF Formula

Least Common Multiple of 27,86,53 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 27,86,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,86,53) = 1

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

GCF(27,86,53) x common factors =1 x 1 = 1

LCM(27,86,53) = ( 27 × 86 × 53 ) / 1

LCM(27,86,53) = 123066 / 1

LCM(27,86,53) = 123066


Lets's calculate GCF of 11,81,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123066/1

Therefore the LCM of Fractions 27/11,86/81,53/561 is 123066

Greatest Common Factor of 11,81,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,81,561 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 11,81,561 . The biggest common factor number is the GCF number.
So the greatest common factor 11,81,561 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 27/11, 86/81, 53/561

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 27/11, 86/81, 53/561?

Answer: LCM of Numerators as per given numbers 27/11, 86/81, 53/561 is

LCM of Numerators i.e. for 27,86,53 is 123066

GCF of denominators i.e. for 11,81,561 is 1.

Thus, LCM of Fractions is 123066.Finally, LCM of Fractions for 27/11, 86/81, 53/561 is 123066.