Least Common Multiple of 27/36, 86/134, 339/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/36, 86/134, 339/920 quickly i.e. 131193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/36, 86/134, 339/920 is 131193.

LCM(27/36, 86/134, 339/920) = 131193

LCM of 27/36, 86/134, 339/920

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 27/36,86/134,339/920

Given numbers are 27/36,86/134,339/920

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 27,86,339

Least Common Multiple of Numerators i.e. LCM of 27,86,339 is 262386.

GCF of Denominators means GCF of 36,134,920 as per the given fractions.

GCF of 36,134,920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,86,339

LCM of Fractions 27/36,86/134,339/920 is 131193

3 27, 86, 339
9, 86, 113

∴ So the LCM of the given numbers is 3 x 9 x 86 x 113 = 262386

Least Common Multiple of 27,86,339 with GCF Formula

Least Common Multiple of 27,86,339 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 27,86,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,86,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,86,339) x common factors =1 x 3 = 3

LCM(27,86,339) = ( 27 × 86 × 339 ) / 3

LCM(27,86,339) = 787158 / 3

LCM(27,86,339) = 262386


Lets's calculate GCF of 36,134,920

2 36, 134, 920
18, 67, 460

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262386/2

Therefore the LCM of Fractions 27/36,86/134,339/920 is 131193

Greatest Common Factor of 36,134,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,134,920 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 36,134,920 . The biggest common factor number is the GCF number.
So the greatest common factor 36,134,920 is 2.


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 27/36, 86/134, 339/920

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 27/36, 86/134, 339/920?

Answer: LCM of Numerators as per given numbers 27/36, 86/134, 339/920 is

LCM of Numerators i.e. for 27,86,339 is 262386

GCF of denominators i.e. for 36,134,920 is 2.

Thus, LCM of Fractions is 131193.Finally, LCM of Fractions for 27/36, 86/134, 339/920 is 131193.