Least Common Multiple of 6691/333, 3635/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6691/333, 3635/259 quickly i.e. 24321785/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6691/333, 3635/259 is 24321785/37.

LCM(6691/333, 3635/259) = 24321785/37

LCM of 6691/333, 3635/259

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 6691/333,3635/259

Given numbers are 6691/333,3635/259

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 6691,3635

Least Common Multiple of Numerators i.e. LCM of 6691,3635 is 24321785.

GCF of Denominators means GCF of 333,259 as per the given fractions.

GCF of 333,259 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6691,3635

LCM of Fractions 6691/333,3635/259 is 24321785/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 24321785

Least Common Multiple of 6691,3635 with GCF Formula

Least Common Multiple of 6691,3635 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 6691,3635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6691,3635) = 1

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

GCF(6691,3635) x common factors =1 x 1 = 1

LCM(6691,3635) = ( 6691 × 3635 ) / 1

LCM(6691,3635) = 24321785 / 1

LCM(6691,3635) = 24321785


Lets's calculate GCF of 333,259

37 333, 259
9, 7

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24321785/37

Therefore the LCM of Fractions 6691/333,3635/259 is 24321785/37

Greatest Common Factor of 333,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,259 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 333,259 . The biggest common factor number is the GCF number.
So the greatest common factor 333,259 is 37.


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 6691/333, 3635/259

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 6691/333, 3635/259?

Answer: LCM of Numerators as per given numbers 6691/333, 3635/259 is

LCM of Numerators i.e. for 6691,3635 is 24321785

GCF of denominators i.e. for 333,259 is 37.

Thus, LCM of Fractions is 24321785/37.Finally, LCM of Fractions for 6691/333, 3635/259 is 24321785/37.