Least Common Multiple of 587/691, 502/313, 538/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/691, 502/313, 538/353 quickly i.e. 79267306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/691, 502/313, 538/353 is 79267306.

LCM(587/691, 502/313, 538/353) = 79267306

LCM of 587/691, 502/313, 538/353

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 587/691,502/313,538/353

Given numbers are 587/691,502/313,538/353

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 587,502,538

Least Common Multiple of Numerators i.e. LCM of 587,502,538 is 79267306.

GCF of Denominators means GCF of 691,313,353 as per the given fractions.

GCF of 691,313,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,502,538

LCM of Fractions 587/691,502/313,538/353 is 79267306

2 587, 502, 538
587, 251, 269

∴ So the LCM of the given numbers is 2 x 587 x 251 x 269 = 79267306

Least Common Multiple of 587,502,538 with GCF Formula

Least Common Multiple of 587,502,538 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 587,502,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,502,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(587,502,538) x common factors =1 x 2 = 2

LCM(587,502,538) = ( 587 × 502 × 538 ) / 2

LCM(587,502,538) = 158534612 / 2

LCM(587,502,538) = 79267306


Lets's calculate GCF of 691,313,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79267306/1

Therefore the LCM of Fractions 587/691,502/313,538/353 is 79267306

Greatest Common Factor of 691,313,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,313,353 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 691,313,353 . The biggest common factor number is the GCF number.
So the greatest common factor 691,313,353 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 587/691, 502/313, 538/353

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 587/691, 502/313, 538/353?

Answer: LCM of Numerators as per given numbers 587/691, 502/313, 538/353 is

LCM of Numerators i.e. for 587,502,538 is 79267306

GCF of denominators i.e. for 691,313,353 is 1.

Thus, LCM of Fractions is 79267306.Finally, LCM of Fractions for 587/691, 502/313, 538/353 is 79267306.