Least Common Multiple of 9309/322, 1841/8067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9309/322, 1841/8067 quickly i.e. 17137869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9309/322, 1841/8067 is 17137869.

LCM(9309/322, 1841/8067) = 17137869

LCM of 9309/322, 1841/8067

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 9309/322,1841/8067

Given numbers are 9309/322,1841/8067

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 9309,1841

Least Common Multiple of Numerators i.e. LCM of 9309,1841 is 17137869.

GCF of Denominators means GCF of 322,8067 as per the given fractions.

GCF of 322,8067 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9309,1841

LCM of Fractions 9309/322,1841/8067 is 17137869

Given numbers has no common factors except 1. So, there LCM is their product i.e 17137869

Least Common Multiple of 9309,1841 with GCF Formula

Least Common Multiple of 9309,1841 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 9309,1841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9309,1841) = 1

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

GCF(9309,1841) x common factors =1 x 1 = 1

LCM(9309,1841) = ( 9309 × 1841 ) / 1

LCM(9309,1841) = 17137869 / 1

LCM(9309,1841) = 17137869


Lets's calculate GCF of 322,8067

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17137869/1

Therefore the LCM of Fractions 9309/322,1841/8067 is 17137869

Greatest Common Factor of 322,8067 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,8067 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1,3,2689,8067

Greatest Common Factor

We found the factors 322,8067 . The biggest common factor number is the GCF number.
So the greatest common factor 322,8067 is 1.


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 9309/322, 1841/8067

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 9309/322, 1841/8067?

Answer: LCM of Numerators as per given numbers 9309/322, 1841/8067 is

LCM of Numerators i.e. for 9309,1841 is 17137869

GCF of denominators i.e. for 322,8067 is 1.

Thus, LCM of Fractions is 17137869.Finally, LCM of Fractions for 9309/322, 1841/8067 is 17137869.