Least Common Multiple of 71/13, 83/37, 82/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/13, 83/37, 82/239 quickly i.e. 483226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/13, 83/37, 82/239 is 483226.

LCM(71/13, 83/37, 82/239) = 483226

LCM of 71/13, 83/37, 82/239

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 71/13,83/37,82/239

Given numbers are 71/13,83/37,82/239

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 71,83,82

Least Common Multiple of Numerators i.e. LCM of 71,83,82 is 483226.

GCF of Denominators means GCF of 13,37,239 as per the given fractions.

GCF of 13,37,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,83,82

LCM of Fractions 71/13,83/37,82/239 is 483226

Given numbers has no common factors except 1. So, there LCM is their product i.e 483226

Least Common Multiple of 71,83,82 with GCF Formula

Least Common Multiple of 71,83,82 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 71,83,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,83,82) = 1

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

GCF(71,83,82) x common factors =1 x 1 = 1

LCM(71,83,82) = ( 71 × 83 × 82 ) / 1

LCM(71,83,82) = 483226 / 1

LCM(71,83,82) = 483226


Lets's calculate GCF of 13,37,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483226/1

Therefore the LCM of Fractions 71/13,83/37,82/239 is 483226

Greatest Common Factor of 13,37,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,37,239 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 13,37,239 . The biggest common factor number is the GCF number.
So the greatest common factor 13,37,239 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 71/13, 83/37, 82/239

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 71/13, 83/37, 82/239?

Answer: LCM of Numerators as per given numbers 71/13, 83/37, 82/239 is

LCM of Numerators i.e. for 71,83,82 is 483226

GCF of denominators i.e. for 13,37,239 is 1.

Thus, LCM of Fractions is 483226.Finally, LCM of Fractions for 71/13, 83/37, 82/239 is 483226.