Least Common Multiple of 39/81, 91/42, 97/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/81, 91/42, 97/466 quickly i.e. 26481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/81, 91/42, 97/466 is 26481.

LCM(39/81, 91/42, 97/466) = 26481

LCM of 39/81, 91/42, 97/466

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 39/81,91/42,97/466

Given numbers are 39/81,91/42,97/466

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 39,91,97

Least Common Multiple of Numerators i.e. LCM of 39,91,97 is 26481.

GCF of Denominators means GCF of 81,42,466 as per the given fractions.

GCF of 81,42,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,91,97

LCM of Fractions 39/81,91/42,97/466 is 26481

13 39, 91, 97
3, 7, 97

∴ So the LCM of the given numbers is 13 x 3 x 7 x 97 = 26481

Least Common Multiple of 39,91,97 with GCF Formula

Least Common Multiple of 39,91,97 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 39,91,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,91,97) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,91,97) x common factors =1 x 13 = 13

LCM(39,91,97) = ( 39 × 91 × 97 ) / 13

LCM(39,91,97) = 344253 / 13

LCM(39,91,97) = 26481


Lets's calculate GCF of 81,42,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26481/1

Therefore the LCM of Fractions 39/81,91/42,97/466 is 26481

Greatest Common Factor of 81,42,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,466 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 81,42,466 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,466 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 39/81, 91/42, 97/466

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 39/81, 91/42, 97/466?

Answer: LCM of Numerators as per given numbers 39/81, 91/42, 97/466 is

LCM of Numerators i.e. for 39,91,97 is 26481

GCF of denominators i.e. for 81,42,466 is 1.

Thus, LCM of Fractions is 26481.Finally, LCM of Fractions for 39/81, 91/42, 97/466 is 26481.