Least Common Multiple of 71/27, 17/43, 272/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/27, 17/43, 272/79 quickly i.e. 19312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/27, 17/43, 272/79 is 19312.

LCM(71/27, 17/43, 272/79) = 19312

LCM of 71/27, 17/43, 272/79

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 71/27,17/43,272/79

Given numbers are 71/27,17/43,272/79

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 71,17,272

Least Common Multiple of Numerators i.e. LCM of 71,17,272 is 19312.

GCF of Denominators means GCF of 27,43,79 as per the given fractions.

GCF of 27,43,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,17,272

LCM of Fractions 71/27,17/43,272/79 is 19312

17 71, 17, 272
71, 1, 16

∴ So the LCM of the given numbers is 17 x 71 x 1 x 16 = 19312

Least Common Multiple of 71,17,272 with GCF Formula

Least Common Multiple of 71,17,272 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 71,17,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,17,272) = 1

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

GCF(71,17,272) x common factors =1 x 17 = 17

LCM(71,17,272) = ( 71 × 17 × 272 ) / 17

LCM(71,17,272) = 328304 / 17

LCM(71,17,272) = 19312


Lets's calculate GCF of 27,43,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19312/1

Therefore the LCM of Fractions 71/27,17/43,272/79 is 19312

Greatest Common Factor of 27,43,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,43,79 By Matching Biggest Common Factor Method

Factors of 27

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

1,3,9,27

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 27,43,79 . The biggest common factor number is the GCF number.
So the greatest common factor 27,43,79 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 71/27, 17/43, 272/79

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 71/27, 17/43, 272/79?

Answer: LCM of Numerators as per given numbers 71/27, 17/43, 272/79 is

LCM of Numerators i.e. for 71,17,272 is 19312

GCF of denominators i.e. for 27,43,79 is 1.

Thus, LCM of Fractions is 19312.Finally, LCM of Fractions for 71/27, 17/43, 272/79 is 19312.