Least Common Multiple of 12/378, 2663/9124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/378, 2663/9124 quickly i.e. 15978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/378, 2663/9124 is 15978.

LCM(12/378, 2663/9124) = 15978

LCM of 12/378, 2663/9124

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 12/378,2663/9124

Given numbers are 12/378,2663/9124

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 12,2663

Least Common Multiple of Numerators i.e. LCM of 12,2663 is 31956.

GCF of Denominators means GCF of 378,9124 as per the given fractions.

GCF of 378,9124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,2663

LCM of Fractions 12/378,2663/9124 is 15978

Given numbers has no common factors except 1. So, there LCM is their product i.e 31956

Least Common Multiple of 12,2663 with GCF Formula

Least Common Multiple of 12,2663 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 12,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2663) = 1

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

GCF(12,2663) x common factors =1 x 1 = 1

LCM(12,2663) = ( 12 × 2663 ) / 1

LCM(12,2663) = 31956 / 1

LCM(12,2663) = 31956


Lets's calculate GCF of 378,9124

2 378, 9124
189, 4562

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31956/2

Therefore the LCM of Fractions 12/378,2663/9124 is 15978

Greatest Common Factor of 378,9124 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,9124 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1,2,4,2281,4562,9124

Greatest Common Factor

We found the factors 378,9124 . The biggest common factor number is the GCF number.
So the greatest common factor 378,9124 is 2.


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 12/378, 2663/9124

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 12/378, 2663/9124?

Answer: LCM of Numerators as per given numbers 12/378, 2663/9124 is

LCM of Numerators i.e. for 12,2663 is 31956

GCF of denominators i.e. for 378,9124 is 2.

Thus, LCM of Fractions is 15978.Finally, LCM of Fractions for 12/378, 2663/9124 is 15978.