Least Common Multiple of 523/20, 613/1531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/20, 613/1531 quickly i.e. 320599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/20, 613/1531 is 320599.

LCM(523/20, 613/1531) = 320599

LCM of 523/20, 613/1531

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 523/20,613/1531

Given numbers are 523/20,613/1531

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 523,613

Least Common Multiple of Numerators i.e. LCM of 523,613 is 320599.

GCF of Denominators means GCF of 20,1531 as per the given fractions.

GCF of 20,1531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,613

LCM of Fractions 523/20,613/1531 is 320599

Given numbers has no common factors except 1. So, there LCM is their product i.e 320599

Least Common Multiple of 523,613 with GCF Formula

Least Common Multiple of 523,613 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 523,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,613) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(523,613) x common factors =1 x 1 = 1

LCM(523,613) = ( 523 × 613 ) / 1

LCM(523,613) = 320599 / 1

LCM(523,613) = 320599


Lets's calculate GCF of 20,1531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320599/1

Therefore the LCM of Fractions 523/20,613/1531 is 320599

Greatest Common Factor of 20,1531 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,1531 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1,1531

Greatest Common Factor

We found the factors 20,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1531 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 523/20, 613/1531

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 523/20, 613/1531?

Answer: LCM of Numerators as per given numbers 523/20, 613/1531 is

LCM of Numerators i.e. for 523,613 is 320599

GCF of denominators i.e. for 20,1531 is 1.

Thus, LCM of Fractions is 320599.Finally, LCM of Fractions for 523/20, 613/1531 is 320599.