Least Common Multiple of 297/591, 432/959, 487/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/591, 432/959, 487/713 quickly i.e. 2314224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/591, 432/959, 487/713 is 2314224.

LCM(297/591, 432/959, 487/713) = 2314224

LCM of 297/591, 432/959, 487/713

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 297/591,432/959,487/713

Given numbers are 297/591,432/959,487/713

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 297,432,487

Least Common Multiple of Numerators i.e. LCM of 297,432,487 is 2314224.

GCF of Denominators means GCF of 591,959,713 as per the given fractions.

GCF of 591,959,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,432,487

LCM of Fractions 297/591,432/959,487/713 is 2314224

3 297, 432, 487
3 99, 144, 487
3 33, 48, 487
11, 16, 487

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 16 x 487 = 2314224

Least Common Multiple of 297,432,487 with GCF Formula

Least Common Multiple of 297,432,487 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 297,432,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,432,487) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(297,432,487) x common factors =1 x 27 = 27

LCM(297,432,487) = ( 297 × 432 × 487 ) / 27

LCM(297,432,487) = 62484048 / 27

LCM(297,432,487) = 2314224


Lets's calculate GCF of 591,959,713

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2314224/1

Therefore the LCM of Fractions 297/591,432/959,487/713 is 2314224

Greatest Common Factor of 591,959,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,959,713 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 591,959,713 . The biggest common factor number is the GCF number.
So the greatest common factor 591,959,713 is 1.


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 297/591, 432/959, 487/713

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 297/591, 432/959, 487/713?

Answer: LCM of Numerators as per given numbers 297/591, 432/959, 487/713 is

LCM of Numerators i.e. for 297,432,487 is 2314224

GCF of denominators i.e. for 591,959,713 is 1.

Thus, LCM of Fractions is 2314224.Finally, LCM of Fractions for 297/591, 432/959, 487/713 is 2314224.