Least Common Multiple of 9303/705, 5543/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9303/705, 5543/768 quickly i.e. 17188843 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9303/705, 5543/768 is 17188843.

LCM(9303/705, 5543/768) = 17188843

LCM of 9303/705, 5543/768

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 9303/705,5543/768

Given numbers are 9303/705,5543/768

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 9303,5543

Least Common Multiple of Numerators i.e. LCM of 9303,5543 is 51566529.

GCF of Denominators means GCF of 705,768 as per the given fractions.

GCF of 705,768 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9303,5543

LCM of Fractions 9303/705,5543/768 is 17188843

Given numbers has no common factors except 1. So, there LCM is their product i.e 51566529

Least Common Multiple of 9303,5543 with GCF Formula

Least Common Multiple of 9303,5543 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 9303,5543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9303,5543) = 1

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

GCF(9303,5543) x common factors =1 x 1 = 1

LCM(9303,5543) = ( 9303 × 5543 ) / 1

LCM(9303,5543) = 51566529 / 1

LCM(9303,5543) = 51566529


Lets's calculate GCF of 705,768

3 705, 768
235, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51566529/3

Therefore the LCM of Fractions 9303/705,5543/768 is 17188843

Greatest Common Factor of 705,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,768 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

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

Greatest Common Factor

We found the factors 705,768 . The biggest common factor number is the GCF number.
So the greatest common factor 705,768 is 3.


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 9303/705, 5543/768

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 9303/705, 5543/768?

Answer: LCM of Numerators as per given numbers 9303/705, 5543/768 is

LCM of Numerators i.e. for 9303,5543 is 51566529

GCF of denominators i.e. for 705,768 is 3.

Thus, LCM of Fractions is 17188843.Finally, LCM of Fractions for 9303/705, 5543/768 is 17188843.