Least Common Multiple of 12/28, 792/76, 756/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/28, 792/76, 756/344 quickly i.e. 4158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/28, 792/76, 756/344 is 4158.

LCM(12/28, 792/76, 756/344) = 4158

LCM of 12/28, 792/76, 756/344

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 12/28,792/76,756/344

Given numbers are 12/28,792/76,756/344

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 12,792,756

Least Common Multiple of Numerators i.e. LCM of 12,792,756 is 16632.

GCF of Denominators means GCF of 28,76,344 as per the given fractions.

GCF of 28,76,344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,792,756

LCM of Fractions 12/28,792/76,756/344 is 4158

2 12, 792, 756
2 6, 396, 378
3 3, 198, 189
3 1, 66, 63
1, 22, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 22 x 21 = 16632

Least Common Multiple of 12,792,756 with GCF Formula

Least Common Multiple of 12,792,756 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 12,792,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,792,756) = 12

common factors(in case of two or more numbers have common factors) = 36

GCF(12,792,756) x common factors =12 x 36 = 432

LCM(12,792,756) = ( 12 × 792 × 756 ) / 432

LCM(12,792,756) = 7185024 / 432

LCM(12,792,756) = 16632


Lets's calculate GCF of 28,76,344

2 28, 76, 344
2 14, 38, 172
7, 19, 86

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16632/4

Therefore the LCM of Fractions 12/28,792/76,756/344 is 4158

Greatest Common Factor of 28,76,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,76,344 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 28,76,344 . The biggest common factor number is the GCF number.
So the greatest common factor 28,76,344 is 4.


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 12/28, 792/76, 756/344

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 12/28, 792/76, 756/344?

Answer: LCM of Numerators as per given numbers 12/28, 792/76, 756/344 is

LCM of Numerators i.e. for 12,792,756 is 16632

GCF of denominators i.e. for 28,76,344 is 4.

Thus, LCM of Fractions is 4158.Finally, LCM of Fractions for 12/28, 792/76, 756/344 is 4158.