Least Common Multiple of 291/24, 339/98, 593/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/24, 339/98, 593/484 quickly i.e. 19499619/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/24, 339/98, 593/484 is 19499619/2.

LCM(291/24, 339/98, 593/484) = 19499619/2

LCM of 291/24, 339/98, 593/484

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 291/24,339/98,593/484

Given numbers are 291/24,339/98,593/484

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 291,339,593

Least Common Multiple of Numerators i.e. LCM of 291,339,593 is 19499619.

GCF of Denominators means GCF of 24,98,484 as per the given fractions.

GCF of 24,98,484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,339,593

LCM of Fractions 291/24,339/98,593/484 is 19499619/2

3 291, 339, 593
97, 113, 593

∴ So the LCM of the given numbers is 3 x 97 x 113 x 593 = 19499619

Least Common Multiple of 291,339,593 with GCF Formula

Least Common Multiple of 291,339,593 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 291,339,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,339,593) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(291,339,593) x common factors =1 x 3 = 3

LCM(291,339,593) = ( 291 × 339 × 593 ) / 3

LCM(291,339,593) = 58498857 / 3

LCM(291,339,593) = 19499619


Lets's calculate GCF of 24,98,484

2 24, 98, 484
12, 49, 242

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19499619/2

Therefore the LCM of Fractions 291/24,339/98,593/484 is 19499619/2

Greatest Common Factor of 24,98,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,98,484 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 24,98,484 . The biggest common factor number is the GCF number.
So the greatest common factor 24,98,484 is 2.


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 291/24, 339/98, 593/484

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 291/24, 339/98, 593/484?

Answer: LCM of Numerators as per given numbers 291/24, 339/98, 593/484 is

LCM of Numerators i.e. for 291,339,593 is 19499619

GCF of denominators i.e. for 24,98,484 is 2.

Thus, LCM of Fractions is 19499619/2.Finally, LCM of Fractions for 291/24, 339/98, 593/484 is 19499619/2.