Least Common Multiple of 84/96, 734/12, 519/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/96, 734/12, 519/291 quickly i.e. 1777748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/96, 734/12, 519/291 is 1777748.

LCM(84/96, 734/12, 519/291) = 1777748

LCM of 84/96, 734/12, 519/291

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 84/96,734/12,519/291

Given numbers are 84/96,734/12,519/291

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 84,734,519

Least Common Multiple of Numerators i.e. LCM of 84,734,519 is 5333244.

GCF of Denominators means GCF of 96,12,291 as per the given fractions.

GCF of 96,12,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,734,519

LCM of Fractions 84/96,734/12,519/291 is 1777748

2 84, 734, 519
3 42, 367, 519
14, 367, 173

∴ So the LCM of the given numbers is 2 x 3 x 14 x 367 x 173 = 5333244

Least Common Multiple of 84,734,519 with GCF Formula

Least Common Multiple of 84,734,519 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 84,734,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,734,519) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,734,519) x common factors =1 x 6 = 6

LCM(84,734,519) = ( 84 × 734 × 519 ) / 6

LCM(84,734,519) = 31999464 / 6

LCM(84,734,519) = 5333244


Lets's calculate GCF of 96,12,291

3 96, 12, 291
32, 4, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5333244/3

Therefore the LCM of Fractions 84/96,734/12,519/291 is 1777748

Greatest Common Factor of 96,12,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,12,291 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 12

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

1,2,3,4,6,12

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 96,12,291 . The biggest common factor number is the GCF number.
So the greatest common factor 96,12,291 is 3.


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 84/96, 734/12, 519/291

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 84/96, 734/12, 519/291?

Answer: LCM of Numerators as per given numbers 84/96, 734/12, 519/291 is

LCM of Numerators i.e. for 84,734,519 is 5333244

GCF of denominators i.e. for 96,12,291 is 3.

Thus, LCM of Fractions is 1777748.Finally, LCM of Fractions for 84/96, 734/12, 519/291 is 1777748.