Least Common Multiple of 12/327, 7779/1182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/327, 7779/1182 quickly i.e. 10372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/327, 7779/1182 is 10372.

LCM(12/327, 7779/1182) = 10372

LCM of 12/327, 7779/1182

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 12/327,7779/1182

Given numbers are 12/327,7779/1182

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 12,7779

Least Common Multiple of Numerators i.e. LCM of 12,7779 is 31116.

GCF of Denominators means GCF of 327,1182 as per the given fractions.

GCF of 327,1182 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,7779

LCM of Fractions 12/327,7779/1182 is 10372

3 12, 7779
4, 2593

∴ So the LCM of the given numbers is 3 x 4 x 2593 = 31116

Least Common Multiple of 12,7779 with GCF Formula

Least Common Multiple of 12,7779 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 12,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,7779) = 3

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

GCF(12,7779) x common factors =3 x 1 = 3

LCM(12,7779) = ( 12 × 7779 ) / 3

LCM(12,7779) = 93348 / 3

LCM(12,7779) = 31116


Lets's calculate GCF of 327,1182

3 327, 1182
109, 394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31116/3

Therefore the LCM of Fractions 12/327,7779/1182 is 10372

Greatest Common Factor of 327,1182 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,1182 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 1182

List of positive integer factors of 1182 that divides 1182 without a remainder.

1,2,3,6,197,394,591,1182

Greatest Common Factor

We found the factors 327,1182 . The biggest common factor number is the GCF number.
So the greatest common factor 327,1182 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/327, 7779/1182

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 12/327, 7779/1182?

Answer: LCM of Numerators as per given numbers 12/327, 7779/1182 is

LCM of Numerators i.e. for 12,7779 is 31116

GCF of denominators i.e. for 327,1182 is 3.

Thus, LCM of Fractions is 10372.Finally, LCM of Fractions for 12/327, 7779/1182 is 10372.