Least Common Multiple of 507/52, 720/4191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/52, 720/4191 quickly i.e. 121680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/52, 720/4191 is 121680.

LCM(507/52, 720/4191) = 121680

LCM of 507/52, 720/4191

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 507/52,720/4191

Given numbers are 507/52,720/4191

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 507,720

Least Common Multiple of Numerators i.e. LCM of 507,720 is 121680.

GCF of Denominators means GCF of 52,4191 as per the given fractions.

GCF of 52,4191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,720

LCM of Fractions 507/52,720/4191 is 121680

3 507, 720
169, 240

∴ So the LCM of the given numbers is 3 x 169 x 240 = 121680

Least Common Multiple of 507,720 with GCF Formula

Least Common Multiple of 507,720 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 507,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,720) = 3

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

GCF(507,720) x common factors =3 x 1 = 3

LCM(507,720) = ( 507 × 720 ) / 3

LCM(507,720) = 365040 / 3

LCM(507,720) = 121680


Lets's calculate GCF of 52,4191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121680/1

Therefore the LCM of Fractions 507/52,720/4191 is 121680

Greatest Common Factor of 52,4191 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4191 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4191

List of positive integer factors of 4191 that divides 4191 without a remainder.

1,3,11,33,127,381,1397,4191

Greatest Common Factor

We found the factors 52,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4191 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 507/52, 720/4191

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 507/52, 720/4191?

Answer: LCM of Numerators as per given numbers 507/52, 720/4191 is

LCM of Numerators i.e. for 507,720 is 121680

GCF of denominators i.e. for 52,4191 is 1.

Thus, LCM of Fractions is 121680.Finally, LCM of Fractions for 507/52, 720/4191 is 121680.