Least Common Multiple of 66/195, 3626/6409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/195, 3626/6409 quickly i.e. 119658/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/195, 3626/6409 is 119658/13.

LCM(66/195, 3626/6409) = 119658/13

LCM of 66/195, 3626/6409

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 66/195,3626/6409

Given numbers are 66/195,3626/6409

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 66,3626

Least Common Multiple of Numerators i.e. LCM of 66,3626 is 119658.

GCF of Denominators means GCF of 195,6409 as per the given fractions.

GCF of 195,6409 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,3626

LCM of Fractions 66/195,3626/6409 is 119658/13

2 66, 3626
33, 1813

∴ So the LCM of the given numbers is 2 x 33 x 1813 = 119658

Least Common Multiple of 66,3626 with GCF Formula

Least Common Multiple of 66,3626 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 66,3626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,3626) = 2

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

GCF(66,3626) x common factors =2 x 1 = 2

LCM(66,3626) = ( 66 × 3626 ) / 2

LCM(66,3626) = 239316 / 2

LCM(66,3626) = 119658


Lets's calculate GCF of 195,6409

13 195, 6409
15, 493

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119658/13

Therefore the LCM of Fractions 66/195,3626/6409 is 119658/13

Greatest Common Factor of 195,6409 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,6409 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 6409

List of positive integer factors of 6409 that divides 6409 without a remainder.

1,13,17,29,221,377,493,6409

Greatest Common Factor

We found the factors 195,6409 . The biggest common factor number is the GCF number.
So the greatest common factor 195,6409 is 13.


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 66/195, 3626/6409

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 66/195, 3626/6409?

Answer: LCM of Numerators as per given numbers 66/195, 3626/6409 is

LCM of Numerators i.e. for 66,3626 is 119658

GCF of denominators i.e. for 195,6409 is 13.

Thus, LCM of Fractions is 119658/13.Finally, LCM of Fractions for 66/195, 3626/6409 is 119658/13.