Least Common Multiple of 24/313, 9843/4695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/313, 9843/4695 quickly i.e. 78744/313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/313, 9843/4695 is 78744/313.

LCM(24/313, 9843/4695) = 78744/313

LCM of 24/313, 9843/4695

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 24/313,9843/4695

Given numbers are 24/313,9843/4695

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 24,9843

Least Common Multiple of Numerators i.e. LCM of 24,9843 is 78744.

GCF of Denominators means GCF of 313,4695 as per the given fractions.

GCF of 313,4695 is 313 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,9843

LCM of Fractions 24/313,9843/4695 is 78744/313

3 24, 9843
8, 3281

∴ So the LCM of the given numbers is 3 x 8 x 3281 = 78744

Least Common Multiple of 24,9843 with GCF Formula

Least Common Multiple of 24,9843 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 24,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,9843) = 3

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

GCF(24,9843) x common factors =3 x 1 = 3

LCM(24,9843) = ( 24 × 9843 ) / 3

LCM(24,9843) = 236232 / 3

LCM(24,9843) = 78744


Lets's calculate GCF of 313,4695

313 313, 4695
1, 15

∴ So the GCF of the given numbers is 313 = 313

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78744/313

Therefore the LCM of Fractions 24/313,9843/4695 is 78744/313

Greatest Common Factor of 313,4695 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,4695 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1,3,5,15,313,939,1565,4695

Greatest Common Factor

We found the factors 313,4695 . The biggest common factor number is the GCF number.
So the greatest common factor 313,4695 is 313.


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 24/313, 9843/4695

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 24/313, 9843/4695?

Answer: LCM of Numerators as per given numbers 24/313, 9843/4695 is

LCM of Numerators i.e. for 24,9843 is 78744

GCF of denominators i.e. for 313,4695 is 313.

Thus, LCM of Fractions is 78744/313.Finally, LCM of Fractions for 24/313, 9843/4695 is 78744/313.