Least Common Multiple of 71/68, 20/82, 75/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/68, 20/82, 75/17 quickly i.e. 21300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/68, 20/82, 75/17 is 21300.

LCM(71/68, 20/82, 75/17) = 21300

LCM of 71/68, 20/82, 75/17

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 71/68,20/82,75/17

Given numbers are 71/68,20/82,75/17

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 71,20,75

Least Common Multiple of Numerators i.e. LCM of 71,20,75 is 21300.

GCF of Denominators means GCF of 68,82,17 as per the given fractions.

GCF of 68,82,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,20,75

LCM of Fractions 71/68,20/82,75/17 is 21300

5 71, 20, 75
71, 4, 15

∴ So the LCM of the given numbers is 5 x 71 x 4 x 15 = 21300

Least Common Multiple of 71,20,75 with GCF Formula

Least Common Multiple of 71,20,75 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 71,20,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,20,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(71,20,75) x common factors =1 x 5 = 5

LCM(71,20,75) = ( 71 × 20 × 75 ) / 5

LCM(71,20,75) = 106500 / 5

LCM(71,20,75) = 21300


Lets's calculate GCF of 68,82,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21300/1

Therefore the LCM of Fractions 71/68,20/82,75/17 is 21300

Greatest Common Factor of 68,82,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,82,17 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 82

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

1,2,41,82

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 68,82,17 . The biggest common factor number is the GCF number.
So the greatest common factor 68,82,17 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 71/68, 20/82, 75/17

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 71/68, 20/82, 75/17?

Answer: LCM of Numerators as per given numbers 71/68, 20/82, 75/17 is

LCM of Numerators i.e. for 71,20,75 is 21300

GCF of denominators i.e. for 68,82,17 is 1.

Thus, LCM of Fractions is 21300.Finally, LCM of Fractions for 71/68, 20/82, 75/17 is 21300.