Least Common Multiple of 12/78, 83/12, 44/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/78, 83/12, 44/812 quickly i.e. 5478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/78, 83/12, 44/812 is 5478.

LCM(12/78, 83/12, 44/812) = 5478

LCM of 12/78, 83/12, 44/812

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 12/78,83/12,44/812

Given numbers are 12/78,83/12,44/812

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 12,83,44

Least Common Multiple of Numerators i.e. LCM of 12,83,44 is 10956.

GCF of Denominators means GCF of 78,12,812 as per the given fractions.

GCF of 78,12,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,83,44

LCM of Fractions 12/78,83/12,44/812 is 5478

2 12, 83, 44
2 6, 83, 22
3, 83, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 11 = 10956

Least Common Multiple of 12,83,44 with GCF Formula

Least Common Multiple of 12,83,44 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 12,83,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,83,44) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,83,44) x common factors =1 x 4 = 4

LCM(12,83,44) = ( 12 × 83 × 44 ) / 4

LCM(12,83,44) = 43824 / 4

LCM(12,83,44) = 10956


Lets's calculate GCF of 78,12,812

2 78, 12, 812
39, 6, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10956/2

Therefore the LCM of Fractions 12/78,83/12,44/812 is 5478

Greatest Common Factor of 78,12,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,12,812 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 78,12,812 . The biggest common factor number is the GCF number.
So the greatest common factor 78,12,812 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 12/78, 83/12, 44/812

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 12/78, 83/12, 44/812?

Answer: LCM of Numerators as per given numbers 12/78, 83/12, 44/812 is

LCM of Numerators i.e. for 12,83,44 is 10956

GCF of denominators i.e. for 78,12,812 is 2.

Thus, LCM of Fractions is 5478.Finally, LCM of Fractions for 12/78, 83/12, 44/812 is 5478.