Least Common Multiple of 741/50, 589/5919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/50, 589/5919 quickly i.e. 22971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/50, 589/5919 is 22971.

LCM(741/50, 589/5919) = 22971

LCM of 741/50, 589/5919

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 741/50,589/5919

Given numbers are 741/50,589/5919

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 741,589

Least Common Multiple of Numerators i.e. LCM of 741,589 is 22971.

GCF of Denominators means GCF of 50,5919 as per the given fractions.

GCF of 50,5919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,589

LCM of Fractions 741/50,589/5919 is 22971

19 741, 589
39, 31

∴ So the LCM of the given numbers is 19 x 39 x 31 = 22971

Least Common Multiple of 741,589 with GCF Formula

Least Common Multiple of 741,589 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 741,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,589) = 19

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

GCF(741,589) x common factors =19 x 1 = 19

LCM(741,589) = ( 741 × 589 ) / 19

LCM(741,589) = 436449 / 19

LCM(741,589) = 22971


Lets's calculate GCF of 50,5919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22971/1

Therefore the LCM of Fractions 741/50,589/5919 is 22971

Greatest Common Factor of 50,5919 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,5919 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 5919

List of positive integer factors of 5919 that divides 5919 without a remainder.

1,3,1973,5919

Greatest Common Factor

We found the factors 50,5919 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5919 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 741/50, 589/5919

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 741/50, 589/5919?

Answer: LCM of Numerators as per given numbers 741/50, 589/5919 is

LCM of Numerators i.e. for 741,589 is 22971

GCF of denominators i.e. for 50,5919 is 1.

Thus, LCM of Fractions is 22971.Finally, LCM of Fractions for 741/50, 589/5919 is 22971.