Least Common Multiple of 82/29, 17/50, 459/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/29, 17/50, 459/791 quickly i.e. 37638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/29, 17/50, 459/791 is 37638.

LCM(82/29, 17/50, 459/791) = 37638

LCM of 82/29, 17/50, 459/791

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 82/29,17/50,459/791

Given numbers are 82/29,17/50,459/791

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 82,17,459

Least Common Multiple of Numerators i.e. LCM of 82,17,459 is 37638.

GCF of Denominators means GCF of 29,50,791 as per the given fractions.

GCF of 29,50,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,17,459

LCM of Fractions 82/29,17/50,459/791 is 37638

17 82, 17, 459
82, 1, 27

∴ So the LCM of the given numbers is 17 x 82 x 1 x 27 = 37638

Least Common Multiple of 82,17,459 with GCF Formula

Least Common Multiple of 82,17,459 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 82,17,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,17,459) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(82,17,459) x common factors =1 x 17 = 17

LCM(82,17,459) = ( 82 × 17 × 459 ) / 17

LCM(82,17,459) = 639846 / 17

LCM(82,17,459) = 37638


Lets's calculate GCF of 29,50,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37638/1

Therefore the LCM of Fractions 82/29,17/50,459/791 is 37638

Greatest Common Factor of 29,50,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,50,791 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 29,50,791 . The biggest common factor number is the GCF number.
So the greatest common factor 29,50,791 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 82/29, 17/50, 459/791

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 82/29, 17/50, 459/791?

Answer: LCM of Numerators as per given numbers 82/29, 17/50, 459/791 is

LCM of Numerators i.e. for 82,17,459 is 37638

GCF of denominators i.e. for 29,50,791 is 1.

Thus, LCM of Fractions is 37638.Finally, LCM of Fractions for 82/29, 17/50, 459/791 is 37638.