Least Common Multiple of 9339/314, 4824/7502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9339/314, 4824/7502 quickly i.e. 7508556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9339/314, 4824/7502 is 7508556.

LCM(9339/314, 4824/7502) = 7508556

LCM of 9339/314, 4824/7502

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 9339/314,4824/7502

Given numbers are 9339/314,4824/7502

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 9339,4824

Least Common Multiple of Numerators i.e. LCM of 9339,4824 is 15017112.

GCF of Denominators means GCF of 314,7502 as per the given fractions.

GCF of 314,7502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9339,4824

LCM of Fractions 9339/314,4824/7502 is 7508556

3 9339, 4824
3113, 1608

∴ So the LCM of the given numbers is 3 x 3113 x 1608 = 15017112

Least Common Multiple of 9339,4824 with GCF Formula

Least Common Multiple of 9339,4824 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 9339,4824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9339,4824) = 3

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

GCF(9339,4824) x common factors =3 x 1 = 3

LCM(9339,4824) = ( 9339 × 4824 ) / 3

LCM(9339,4824) = 45051336 / 3

LCM(9339,4824) = 15017112


Lets's calculate GCF of 314,7502

2 314, 7502
157, 3751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15017112/2

Therefore the LCM of Fractions 9339/314,4824/7502 is 7508556

Greatest Common Factor of 314,7502 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,7502 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors 314,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 314,7502 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 9339/314, 4824/7502

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 9339/314, 4824/7502?

Answer: LCM of Numerators as per given numbers 9339/314, 4824/7502 is

LCM of Numerators i.e. for 9339,4824 is 15017112

GCF of denominators i.e. for 314,7502 is 2.

Thus, LCM of Fractions is 7508556.Finally, LCM of Fractions for 9339/314, 4824/7502 is 7508556.