Least Common Multiple of 81/180, 195/65, 371/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/180, 195/65, 371/638 quickly i.e. 1953315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/180, 195/65, 371/638 is 1953315.

LCM(81/180, 195/65, 371/638) = 1953315

LCM of 81/180, 195/65, 371/638

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 81/180,195/65,371/638

Given numbers are 81/180,195/65,371/638

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 81,195,371

Least Common Multiple of Numerators i.e. LCM of 81,195,371 is 1953315.

GCF of Denominators means GCF of 180,65,638 as per the given fractions.

GCF of 180,65,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,195,371

LCM of Fractions 81/180,195/65,371/638 is 1953315

3 81, 195, 371
27, 65, 371

∴ So the LCM of the given numbers is 3 x 27 x 65 x 371 = 1953315

Least Common Multiple of 81,195,371 with GCF Formula

Least Common Multiple of 81,195,371 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 81,195,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,195,371) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,195,371) x common factors =1 x 3 = 3

LCM(81,195,371) = ( 81 × 195 × 371 ) / 3

LCM(81,195,371) = 5859945 / 3

LCM(81,195,371) = 1953315


Lets's calculate GCF of 180,65,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1953315/1

Therefore the LCM of Fractions 81/180,195/65,371/638 is 1953315

Greatest Common Factor of 180,65,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,65,638 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 180,65,638 . The biggest common factor number is the GCF number.
So the greatest common factor 180,65,638 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/180, 195/65, 371/638

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 81/180, 195/65, 371/638?

Answer: LCM of Numerators as per given numbers 81/180, 195/65, 371/638 is

LCM of Numerators i.e. for 81,195,371 is 1953315

GCF of denominators i.e. for 180,65,638 is 1.

Thus, LCM of Fractions is 1953315.Finally, LCM of Fractions for 81/180, 195/65, 371/638 is 1953315.