Least Common Multiple of 82/21, 17/31, 72/85, 17/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/21, 17/31, 72/85, 17/327 quickly i.e. 50184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/21, 17/31, 72/85, 17/327 is 50184.

LCM(82/21, 17/31, 72/85, 17/327) = 50184

LCM of 82/21, 17/31, 72/85, 17/327

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 82/21,17/31,72/85,17/327

Given numbers are 82/21,17/31,72/85,17/327

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 82,17,72,17

Least Common Multiple of Numerators i.e. LCM of 82,17,72,17 is 50184.

GCF of Denominators means GCF of 21,31,85,327 as per the given fractions.

GCF of 21,31,85,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,17,72,17

LCM of Fractions 82/21,17/31,72/85,17/327 is 50184

2 82, 17, 72, 17
17 41, 17, 36, 17
41, 1, 36, 1

∴ So the LCM of the given numbers is 2 x 17 x 41 x 1 x 36 x 1 = 50184

Least Common Multiple of 82,17,72,17 with GCF Formula

Least Common Multiple of 82,17,72,17 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 82,17,72,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,17,72,17) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(82,17,72,17) x common factors =1 x 34 = 34

LCM(82,17,72,17) = ( 82 × 17 × 72 × 17 ) / 34

LCM(82,17,72,17) = 1706256 / 34

LCM(82,17,72,17) = 50184


Lets's calculate GCF of 21,31,85,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50184/1

Therefore the LCM of Fractions 82/21,17/31,72/85,17/327 is 50184

Greatest Common Factor of 21,31,85,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,31,85,327 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 21,31,85,327 . The biggest common factor number is the GCF number.
So the greatest common factor 21,31,85,327 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 82/21, 17/31, 72/85, 17/327

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 82/21, 17/31, 72/85, 17/327?

Answer: LCM of Numerators as per given numbers 82/21, 17/31, 72/85, 17/327 is

LCM of Numerators i.e. for 82,17,72,17 is 50184

GCF of denominators i.e. for 21,31,85,327 is 1.

Thus, LCM of Fractions is 50184.Finally, LCM of Fractions for 82/21, 17/31, 72/85, 17/327 is 50184.