Least Common Multiple of 505/29, 539/9714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/29, 539/9714 quickly i.e. 272195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/29, 539/9714 is 272195.

LCM(505/29, 539/9714) = 272195

LCM of 505/29, 539/9714

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 505/29,539/9714

Given numbers are 505/29,539/9714

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 505,539

Least Common Multiple of Numerators i.e. LCM of 505,539 is 272195.

GCF of Denominators means GCF of 29,9714 as per the given fractions.

GCF of 29,9714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,539

LCM of Fractions 505/29,539/9714 is 272195

Given numbers has no common factors except 1. So, there LCM is their product i.e 272195

Least Common Multiple of 505,539 with GCF Formula

Least Common Multiple of 505,539 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 505,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,539) = 1

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

GCF(505,539) x common factors =1 x 1 = 1

LCM(505,539) = ( 505 × 539 ) / 1

LCM(505,539) = 272195 / 1

LCM(505,539) = 272195


Lets's calculate GCF of 29,9714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272195/1

Therefore the LCM of Fractions 505/29,539/9714 is 272195

Greatest Common Factor of 29,9714 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,9714 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Greatest Common Factor

We found the factors 29,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 29,9714 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 505/29, 539/9714

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 505/29, 539/9714?

Answer: LCM of Numerators as per given numbers 505/29, 539/9714 is

LCM of Numerators i.e. for 505,539 is 272195

GCF of denominators i.e. for 29,9714 is 1.

Thus, LCM of Fractions is 272195.Finally, LCM of Fractions for 505/29, 539/9714 is 272195.