Least Common Multiple of 231/792, 738/516, 539/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/792, 738/516, 539/716 quickly i.e. 397782/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/792, 738/516, 539/716 is 397782/4.

LCM(231/792, 738/516, 539/716) = 397782/4

LCM of 231/792, 738/516, 539/716

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 231/792,738/516,539/716

Given numbers are 231/792,738/516,539/716

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 231,738,539

Least Common Multiple of Numerators i.e. LCM of 231,738,539 is 397782.

GCF of Denominators means GCF of 792,516,716 as per the given fractions.

GCF of 792,516,716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,738,539

LCM of Fractions 231/792,738/516,539/716 is 397782/4

3 231, 738, 539
7 77, 246, 539
11 11, 246, 77
1, 246, 7

∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 246 x 7 = 397782

Least Common Multiple of 231,738,539 with GCF Formula

Least Common Multiple of 231,738,539 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 231,738,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,738,539) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(231,738,539) x common factors =1 x 231 = 231

LCM(231,738,539) = ( 231 × 738 × 539 ) / 231

LCM(231,738,539) = 91887642 / 231

LCM(231,738,539) = 397782


Lets's calculate GCF of 792,516,716

2 792, 516, 716
2 396, 258, 358
198, 129, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397782/4

Therefore the LCM of Fractions 231/792,738/516,539/716 is 397782/4

Greatest Common Factor of 792,516,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,516,716 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 792,516,716 . The biggest common factor number is the GCF number.
So the greatest common factor 792,516,716 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 231/792, 738/516, 539/716

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 231/792, 738/516, 539/716?

Answer: LCM of Numerators as per given numbers 231/792, 738/516, 539/716 is

LCM of Numerators i.e. for 231,738,539 is 397782

GCF of denominators i.e. for 792,516,716 is 4.

Thus, LCM of Fractions is 397782/4.Finally, LCM of Fractions for 231/792, 738/516, 539/716 is 397782/4.