Least Common Multiple of 260/45, 487/76, 191/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/45, 487/76, 191/384 quickly i.e. 24184420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/45, 487/76, 191/384 is 24184420.

LCM(260/45, 487/76, 191/384) = 24184420

LCM of 260/45, 487/76, 191/384

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 260/45,487/76,191/384

Given numbers are 260/45,487/76,191/384

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 260,487,191

Least Common Multiple of Numerators i.e. LCM of 260,487,191 is 24184420.

GCF of Denominators means GCF of 45,76,384 as per the given fractions.

GCF of 45,76,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,487,191

LCM of Fractions 260/45,487/76,191/384 is 24184420

Given numbers has no common factors except 1. So, there LCM is their product i.e 24184420

Least Common Multiple of 260,487,191 with GCF Formula

Least Common Multiple of 260,487,191 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 260,487,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,487,191) = 1

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

GCF(260,487,191) x common factors =1 x 1 = 1

LCM(260,487,191) = ( 260 × 487 × 191 ) / 1

LCM(260,487,191) = 24184420 / 1

LCM(260,487,191) = 24184420


Lets's calculate GCF of 45,76,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24184420/1

Therefore the LCM of Fractions 260/45,487/76,191/384 is 24184420

Greatest Common Factor of 45,76,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,76,384 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 45,76,384 . The biggest common factor number is the GCF number.
So the greatest common factor 45,76,384 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 260/45, 487/76, 191/384

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 260/45, 487/76, 191/384?

Answer: LCM of Numerators as per given numbers 260/45, 487/76, 191/384 is

LCM of Numerators i.e. for 260,487,191 is 24184420

GCF of denominators i.e. for 45,76,384 is 1.

Thus, LCM of Fractions is 24184420.Finally, LCM of Fractions for 260/45, 487/76, 191/384 is 24184420.