Least Common Multiple of 26/299, 20/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/299, 20/529 quickly i.e. 260/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/299, 20/529 is 260/23.

LCM(26/299, 20/529) = 260/23

LCM of 26/299, 20/529

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 26/299,20/529

Given numbers are 26/299,20/529

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 26,20

Least Common Multiple of Numerators i.e. LCM of 26,20 is 260.

GCF of Denominators means GCF of 299,529 as per the given fractions.

GCF of 299,529 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,20

LCM of Fractions 26/299,20/529 is 260/23

2 26, 20
13, 10

∴ So the LCM of the given numbers is 2 x 13 x 10 = 260

Least Common Multiple of 26,20 with GCF Formula

Least Common Multiple of 26,20 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 26,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,20) = 2

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

GCF(26,20) x common factors =2 x 1 = 2

LCM(26,20) = ( 26 × 20 ) / 2

LCM(26,20) = 520 / 2

LCM(26,20) = 260


Lets's calculate GCF of 299,529

23 299, 529
13, 23

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260/23

Therefore the LCM of Fractions 26/299,20/529 is 260/23

Greatest Common Factor of 299,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,529 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 299,529 . The biggest common factor number is the GCF number.
So the greatest common factor 299,529 is 23.


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 26/299, 20/529

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 26/299, 20/529?

Answer: LCM of Numerators as per given numbers 26/299, 20/529 is

LCM of Numerators i.e. for 26,20 is 260

GCF of denominators i.e. for 299,529 is 23.

Thus, LCM of Fractions is 260/23.Finally, LCM of Fractions for 26/299, 20/529 is 260/23.