Least Common Multiple of 39/82, 52/27, 191/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/82, 52/27, 191/714 quickly i.e. 29796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/82, 52/27, 191/714 is 29796.

LCM(39/82, 52/27, 191/714) = 29796

LCM of 39/82, 52/27, 191/714

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 39/82,52/27,191/714

Given numbers are 39/82,52/27,191/714

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 39,52,191

Least Common Multiple of Numerators i.e. LCM of 39,52,191 is 29796.

GCF of Denominators means GCF of 82,27,714 as per the given fractions.

GCF of 82,27,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,52,191

LCM of Fractions 39/82,52/27,191/714 is 29796

13 39, 52, 191
3, 4, 191

∴ So the LCM of the given numbers is 13 x 3 x 4 x 191 = 29796

Least Common Multiple of 39,52,191 with GCF Formula

Least Common Multiple of 39,52,191 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 39,52,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,52,191) = 1

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

GCF(39,52,191) x common factors =1 x 13 = 13

LCM(39,52,191) = ( 39 × 52 × 191 ) / 13

LCM(39,52,191) = 387348 / 13

LCM(39,52,191) = 29796


Lets's calculate GCF of 82,27,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29796/1

Therefore the LCM of Fractions 39/82,52/27,191/714 is 29796

Greatest Common Factor of 82,27,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,27,714 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 82,27,714 . The biggest common factor number is the GCF number.
So the greatest common factor 82,27,714 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 39/82, 52/27, 191/714

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 39/82, 52/27, 191/714?

Answer: LCM of Numerators as per given numbers 39/82, 52/27, 191/714 is

LCM of Numerators i.e. for 39,52,191 is 29796

GCF of denominators i.e. for 82,27,714 is 1.

Thus, LCM of Fractions is 29796.Finally, LCM of Fractions for 39/82, 52/27, 191/714 is 29796.