Least Common Multiple of 27/660, 6636/5736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/660, 6636/5736 quickly i.e. 4977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/660, 6636/5736 is 4977.

LCM(27/660, 6636/5736) = 4977

LCM of 27/660, 6636/5736

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 27/660,6636/5736

Given numbers are 27/660,6636/5736

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 27,6636

Least Common Multiple of Numerators i.e. LCM of 27,6636 is 59724.

GCF of Denominators means GCF of 660,5736 as per the given fractions.

GCF of 660,5736 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,6636

LCM of Fractions 27/660,6636/5736 is 4977

3 27, 6636
9, 2212

∴ So the LCM of the given numbers is 3 x 9 x 2212 = 59724

Least Common Multiple of 27,6636 with GCF Formula

Least Common Multiple of 27,6636 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 27,6636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,6636) = 3

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

GCF(27,6636) x common factors =3 x 1 = 3

LCM(27,6636) = ( 27 × 6636 ) / 3

LCM(27,6636) = 179172 / 3

LCM(27,6636) = 59724


Lets's calculate GCF of 660,5736

2 660, 5736
2 330, 2868
3 165, 1434
55, 478

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59724/12

Therefore the LCM of Fractions 27/660,6636/5736 is 4977

Greatest Common Factor of 660,5736 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,5736 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 660,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 660,5736 is 12.


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 27/660, 6636/5736

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 27/660, 6636/5736?

Answer: LCM of Numerators as per given numbers 27/660, 6636/5736 is

LCM of Numerators i.e. for 27,6636 is 59724

GCF of denominators i.e. for 660,5736 is 12.

Thus, LCM of Fractions is 4977.Finally, LCM of Fractions for 27/660, 6636/5736 is 4977.