Least Common Multiple of 241/38, 195/15, 589/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/38, 195/15, 589/66 quickly i.e. 27680055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/38, 195/15, 589/66 is 27680055.

LCM(241/38, 195/15, 589/66) = 27680055

LCM of 241/38, 195/15, 589/66

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 241/38,195/15,589/66

Given numbers are 241/38,195/15,589/66

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 241,195,589

Least Common Multiple of Numerators i.e. LCM of 241,195,589 is 27680055.

GCF of Denominators means GCF of 38,15,66 as per the given fractions.

GCF of 38,15,66 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,195,589

LCM of Fractions 241/38,195/15,589/66 is 27680055

Given numbers has no common factors except 1. So, there LCM is their product i.e 27680055

Least Common Multiple of 241,195,589 with GCF Formula

Least Common Multiple of 241,195,589 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 241,195,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,195,589) = 1

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

GCF(241,195,589) x common factors =1 x 1 = 1

LCM(241,195,589) = ( 241 × 195 × 589 ) / 1

LCM(241,195,589) = 27680055 / 1

LCM(241,195,589) = 27680055


Lets's calculate GCF of 38,15,66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27680055/1

Therefore the LCM of Fractions 241/38,195/15,589/66 is 27680055

Greatest Common Factor of 38,15,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,15,66 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 38,15,66 . The biggest common factor number is the GCF number.
So the greatest common factor 38,15,66 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 241/38, 195/15, 589/66

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 241/38, 195/15, 589/66?

Answer: LCM of Numerators as per given numbers 241/38, 195/15, 589/66 is

LCM of Numerators i.e. for 241,195,589 is 27680055

GCF of denominators i.e. for 38,15,66 is 1.

Thus, LCM of Fractions is 27680055.Finally, LCM of Fractions for 241/38, 195/15, 589/66 is 27680055.