Least Common Multiple of 12/82, 832/12, 768/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/82, 832/12, 768/112 quickly i.e. 4992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/82, 832/12, 768/112 is 4992.

LCM(12/82, 832/12, 768/112) = 4992

LCM of 12/82, 832/12, 768/112

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 12/82,832/12,768/112

Given numbers are 12/82,832/12,768/112

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 12,832,768

Least Common Multiple of Numerators i.e. LCM of 12,832,768 is 9984.

GCF of Denominators means GCF of 82,12,112 as per the given fractions.

GCF of 82,12,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,832,768

LCM of Fractions 12/82,832/12,768/112 is 4992

2 12, 832, 768
2 6, 416, 384
2 3, 208, 192
2 3, 104, 96
2 3, 52, 48
2 3, 26, 24
3 3, 13, 12
1, 13, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 13 x 4 = 9984

Least Common Multiple of 12,832,768 with GCF Formula

Least Common Multiple of 12,832,768 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 12,832,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,832,768) = 4

common factors(in case of two or more numbers have common factors) = 192

GCF(12,832,768) x common factors =4 x 192 = 768

LCM(12,832,768) = ( 12 × 832 × 768 ) / 768

LCM(12,832,768) = 7667712 / 768

LCM(12,832,768) = 9984


Lets's calculate GCF of 82,12,112

2 82, 12, 112
41, 6, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9984/2

Therefore the LCM of Fractions 12/82,832/12,768/112 is 4992

Greatest Common Factor of 82,12,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,12,112 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 12

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

1,2,3,4,6,12

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 82,12,112 . The biggest common factor number is the GCF number.
So the greatest common factor 82,12,112 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 12/82, 832/12, 768/112

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 12/82, 832/12, 768/112?

Answer: LCM of Numerators as per given numbers 12/82, 832/12, 768/112 is

LCM of Numerators i.e. for 12,832,768 is 9984

GCF of denominators i.e. for 82,12,112 is 2.

Thus, LCM of Fractions is 4992.Finally, LCM of Fractions for 12/82, 832/12, 768/112 is 4992.