Least Common Multiple of 507/11, 523/2747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/11, 523/2747 quickly i.e. 265161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/11, 523/2747 is 265161.

LCM(507/11, 523/2747) = 265161

LCM of 507/11, 523/2747

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 507/11,523/2747

Given numbers are 507/11,523/2747

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 507,523

Least Common Multiple of Numerators i.e. LCM of 507,523 is 265161.

GCF of Denominators means GCF of 11,2747 as per the given fractions.

GCF of 11,2747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,523

LCM of Fractions 507/11,523/2747 is 265161

Given numbers has no common factors except 1. So, there LCM is their product i.e 265161

Least Common Multiple of 507,523 with GCF Formula

Least Common Multiple of 507,523 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 507,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,523) = 1

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

GCF(507,523) x common factors =1 x 1 = 1

LCM(507,523) = ( 507 × 523 ) / 1

LCM(507,523) = 265161 / 1

LCM(507,523) = 265161


Lets's calculate GCF of 11,2747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265161/1

Therefore the LCM of Fractions 507/11,523/2747 is 265161

Greatest Common Factor of 11,2747 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,2747 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Greatest Common Factor

We found the factors 11,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 11,2747 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 507/11, 523/2747

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 507/11, 523/2747?

Answer: LCM of Numerators as per given numbers 507/11, 523/2747 is

LCM of Numerators i.e. for 507,523 is 265161

GCF of denominators i.e. for 11,2747 is 1.

Thus, LCM of Fractions is 265161.Finally, LCM of Fractions for 507/11, 523/2747 is 265161.