Least Common Multiple of 27/83, 13/63, 13/82, 59/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/83, 13/63, 13/82, 59/981 quickly i.e. 20709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/83, 13/63, 13/82, 59/981 is 20709.

LCM(27/83, 13/63, 13/82, 59/981) = 20709

LCM of 27/83, 13/63, 13/82, 59/981

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 27/83,13/63,13/82,59/981

Given numbers are 27/83,13/63,13/82,59/981

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 27,13,13,59

Least Common Multiple of Numerators i.e. LCM of 27,13,13,59 is 20709.

GCF of Denominators means GCF of 83,63,82,981 as per the given fractions.

GCF of 83,63,82,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,13,13,59

LCM of Fractions 27/83,13/63,13/82,59/981 is 20709

13 27, 13, 13, 59
27, 1, 1, 59

∴ So the LCM of the given numbers is 13 x 27 x 1 x 1 x 59 = 20709

Least Common Multiple of 27,13,13,59 with GCF Formula

Least Common Multiple of 27,13,13,59 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 27,13,13,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,13,13,59) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(27,13,13,59) x common factors =1 x 13 = 13

LCM(27,13,13,59) = ( 27 × 13 × 13 × 59 ) / 13

LCM(27,13,13,59) = 269217 / 13

LCM(27,13,13,59) = 20709


Lets's calculate GCF of 83,63,82,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20709/1

Therefore the LCM of Fractions 27/83,13/63,13/82,59/981 is 20709

Greatest Common Factor of 83,63,82,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,63,82,981 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 82

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

1,2,41,82

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 83,63,82,981 . The biggest common factor number is the GCF number.
So the greatest common factor 83,63,82,981 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 27/83, 13/63, 13/82, 59/981

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 27/83, 13/63, 13/82, 59/981?

Answer: LCM of Numerators as per given numbers 27/83, 13/63, 13/82, 59/981 is

LCM of Numerators i.e. for 27,13,13,59 is 20709

GCF of denominators i.e. for 83,63,82,981 is 1.

Thus, LCM of Fractions is 20709.Finally, LCM of Fractions for 27/83, 13/63, 13/82, 59/981 is 20709.