Least Common Multiple of 9069/342, 9326/1205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9069/342, 9326/1205 quickly i.e. 84577494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9069/342, 9326/1205 is 84577494.

LCM(9069/342, 9326/1205) = 84577494

LCM of 9069/342, 9326/1205

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 9069/342,9326/1205

Given numbers are 9069/342,9326/1205

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 9069,9326

Least Common Multiple of Numerators i.e. LCM of 9069,9326 is 84577494.

GCF of Denominators means GCF of 342,1205 as per the given fractions.

GCF of 342,1205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9069,9326

LCM of Fractions 9069/342,9326/1205 is 84577494

Given numbers has no common factors except 1. So, there LCM is their product i.e 84577494

Least Common Multiple of 9069,9326 with GCF Formula

Least Common Multiple of 9069,9326 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 9069,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9069,9326) = 1

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

GCF(9069,9326) x common factors =1 x 1 = 1

LCM(9069,9326) = ( 9069 × 9326 ) / 1

LCM(9069,9326) = 84577494 / 1

LCM(9069,9326) = 84577494


Lets's calculate GCF of 342,1205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84577494/1

Therefore the LCM of Fractions 9069/342,9326/1205 is 84577494

Greatest Common Factor of 342,1205 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,1205 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1,5,241,1205

Greatest Common Factor

We found the factors 342,1205 . The biggest common factor number is the GCF number.
So the greatest common factor 342,1205 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 9069/342, 9326/1205

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 9069/342, 9326/1205?

Answer: LCM of Numerators as per given numbers 9069/342, 9326/1205 is

LCM of Numerators i.e. for 9069,9326 is 84577494

GCF of denominators i.e. for 342,1205 is 1.

Thus, LCM of Fractions is 84577494.Finally, LCM of Fractions for 9069/342, 9326/1205 is 84577494.