Least Common Multiple of 3241/687, 4281/9413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3241/687, 4281/9413 quickly i.e. 13874721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3241/687, 4281/9413 is 13874721.

LCM(3241/687, 4281/9413) = 13874721

LCM of 3241/687, 4281/9413

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 3241/687,4281/9413

Given numbers are 3241/687,4281/9413

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 3241,4281

Least Common Multiple of Numerators i.e. LCM of 3241,4281 is 13874721.

GCF of Denominators means GCF of 687,9413 as per the given fractions.

GCF of 687,9413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3241,4281

LCM of Fractions 3241/687,4281/9413 is 13874721

Given numbers has no common factors except 1. So, there LCM is their product i.e 13874721

Least Common Multiple of 3241,4281 with GCF Formula

Least Common Multiple of 3241,4281 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 3241,4281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3241,4281) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3241,4281) x common factors =1 x 1 = 1

LCM(3241,4281) = ( 3241 × 4281 ) / 1

LCM(3241,4281) = 13874721 / 1

LCM(3241,4281) = 13874721


Lets's calculate GCF of 687,9413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13874721/1

Therefore the LCM of Fractions 3241/687,4281/9413 is 13874721

Greatest Common Factor of 687,9413 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,9413 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 9413

List of positive integer factors of 9413 that divides 9413 without a remainder.

1,9413

Greatest Common Factor

We found the factors 687,9413 . The biggest common factor number is the GCF number.
So the greatest common factor 687,9413 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 3241/687, 4281/9413

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 3241/687, 4281/9413?

Answer: LCM of Numerators as per given numbers 3241/687, 4281/9413 is

LCM of Numerators i.e. for 3241,4281 is 13874721

GCF of denominators i.e. for 687,9413 is 1.

Thus, LCM of Fractions is 13874721.Finally, LCM of Fractions for 3241/687, 4281/9413 is 13874721.