Least Common Multiple of 58/15, 241/33, 641/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/15, 241/33, 641/792 quickly i.e. 8959898/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/15, 241/33, 641/792 is 8959898/3.

LCM(58/15, 241/33, 641/792) = 8959898/3

LCM of 58/15, 241/33, 641/792

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 58/15,241/33,641/792

Given numbers are 58/15,241/33,641/792

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 58,241,641

Least Common Multiple of Numerators i.e. LCM of 58,241,641 is 8959898.

GCF of Denominators means GCF of 15,33,792 as per the given fractions.

GCF of 15,33,792 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,241,641

LCM of Fractions 58/15,241/33,641/792 is 8959898/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 8959898

Least Common Multiple of 58,241,641 with GCF Formula

Least Common Multiple of 58,241,641 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 58,241,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,241,641) = 1

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

GCF(58,241,641) x common factors =1 x 1 = 1

LCM(58,241,641) = ( 58 × 241 × 641 ) / 1

LCM(58,241,641) = 8959898 / 1

LCM(58,241,641) = 8959898


Lets's calculate GCF of 15,33,792

3 15, 33, 792
5, 11, 264

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8959898/3

Therefore the LCM of Fractions 58/15,241/33,641/792 is 8959898/3

Greatest Common Factor of 15,33,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,33,792 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 15,33,792 . The biggest common factor number is the GCF number.
So the greatest common factor 15,33,792 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/15, 241/33, 641/792

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 58/15, 241/33, 641/792?

Answer: LCM of Numerators as per given numbers 58/15, 241/33, 641/792 is

LCM of Numerators i.e. for 58,241,641 is 8959898

GCF of denominators i.e. for 15,33,792 is 3.

Thus, LCM of Fractions is 8959898/3.Finally, LCM of Fractions for 58/15, 241/33, 641/792 is 8959898/3.