Least Common Multiple of 7233/768, 3705/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7233/768, 3705/9852 quickly i.e. 8932755/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7233/768, 3705/9852 is 8932755/12.

LCM(7233/768, 3705/9852) = 8932755/12

LCM of 7233/768, 3705/9852

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 7233/768,3705/9852

Given numbers are 7233/768,3705/9852

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 7233,3705

Least Common Multiple of Numerators i.e. LCM of 7233,3705 is 8932755.

GCF of Denominators means GCF of 768,9852 as per the given fractions.

GCF of 768,9852 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7233,3705

LCM of Fractions 7233/768,3705/9852 is 8932755/12

3 7233, 3705
2411, 1235

∴ So the LCM of the given numbers is 3 x 2411 x 1235 = 8932755

Least Common Multiple of 7233,3705 with GCF Formula

Least Common Multiple of 7233,3705 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 7233,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7233,3705) = 3

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

GCF(7233,3705) x common factors =3 x 1 = 3

LCM(7233,3705) = ( 7233 × 3705 ) / 3

LCM(7233,3705) = 26798265 / 3

LCM(7233,3705) = 8932755


Lets's calculate GCF of 768,9852

2 768, 9852
2 384, 4926
3 192, 2463
64, 821

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8932755/12

Therefore the LCM of Fractions 7233/768,3705/9852 is 8932755/12

Greatest Common Factor of 768,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,9852 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 768,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 768,9852 is 12.


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 7233/768, 3705/9852

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 7233/768, 3705/9852?

Answer: LCM of Numerators as per given numbers 7233/768, 3705/9852 is

LCM of Numerators i.e. for 7233,3705 is 8932755

GCF of denominators i.e. for 768,9852 is 12.

Thus, LCM of Fractions is 8932755/12.Finally, LCM of Fractions for 7233/768, 3705/9852 is 8932755/12.