Least Common Multiple of 20/146, 82/195, 481/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/146, 82/195, 481/766 quickly i.e. 394420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/146, 82/195, 481/766 is 394420.

LCM(20/146, 82/195, 481/766) = 394420

LCM of 20/146, 82/195, 481/766

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 20/146,82/195,481/766

Given numbers are 20/146,82/195,481/766

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 20,82,481

Least Common Multiple of Numerators i.e. LCM of 20,82,481 is 394420.

GCF of Denominators means GCF of 146,195,766 as per the given fractions.

GCF of 146,195,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,82,481

LCM of Fractions 20/146,82/195,481/766 is 394420

2 20, 82, 481
10, 41, 481

∴ So the LCM of the given numbers is 2 x 10 x 41 x 481 = 394420

Least Common Multiple of 20,82,481 with GCF Formula

Least Common Multiple of 20,82,481 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 20,82,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,82,481) = 1

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

GCF(20,82,481) x common factors =1 x 2 = 2

LCM(20,82,481) = ( 20 × 82 × 481 ) / 2

LCM(20,82,481) = 788840 / 2

LCM(20,82,481) = 394420


Lets's calculate GCF of 146,195,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394420/1

Therefore the LCM of Fractions 20/146,82/195,481/766 is 394420

Greatest Common Factor of 146,195,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,195,766 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 146,195,766 . The biggest common factor number is the GCF number.
So the greatest common factor 146,195,766 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 20/146, 82/195, 481/766

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 20/146, 82/195, 481/766?

Answer: LCM of Numerators as per given numbers 20/146, 82/195, 481/766 is

LCM of Numerators i.e. for 20,82,481 is 394420

GCF of denominators i.e. for 146,195,766 is 1.

Thus, LCM of Fractions is 394420.Finally, LCM of Fractions for 20/146, 82/195, 481/766 is 394420.