Least Common Multiple of 13/79, 20/15, 584/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/79, 20/15, 584/981 quickly i.e. 37960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/79, 20/15, 584/981 is 37960.

LCM(13/79, 20/15, 584/981) = 37960

LCM of 13/79, 20/15, 584/981

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 13/79,20/15,584/981

Given numbers are 13/79,20/15,584/981

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 13,20,584

Least Common Multiple of Numerators i.e. LCM of 13,20,584 is 37960.

GCF of Denominators means GCF of 79,15,981 as per the given fractions.

GCF of 79,15,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,20,584

LCM of Fractions 13/79,20/15,584/981 is 37960

2 13, 20, 584
2 13, 10, 292
13, 5, 146

∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 146 = 37960

Least Common Multiple of 13,20,584 with GCF Formula

Least Common Multiple of 13,20,584 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 13,20,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,20,584) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,20,584) x common factors =1 x 4 = 4

LCM(13,20,584) = ( 13 × 20 × 584 ) / 4

LCM(13,20,584) = 151840 / 4

LCM(13,20,584) = 37960


Lets's calculate GCF of 79,15,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37960/1

Therefore the LCM of Fractions 13/79,20/15,584/981 is 37960

Greatest Common Factor of 79,15,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,15,981 By Matching Biggest Common Factor Method

Factors of 79

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

1,79

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

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 79,15,981 . The biggest common factor number is the GCF number.
So the greatest common factor 79,15,981 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 13/79, 20/15, 584/981

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 13/79, 20/15, 584/981?

Answer: LCM of Numerators as per given numbers 13/79, 20/15, 584/981 is

LCM of Numerators i.e. for 13,20,584 is 37960

GCF of denominators i.e. for 79,15,981 is 1.

Thus, LCM of Fractions is 37960.Finally, LCM of Fractions for 13/79, 20/15, 584/981 is 37960.