Least Common Multiple of 361/73, 309/7328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/73, 309/7328 quickly i.e. 111549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/73, 309/7328 is 111549.

LCM(361/73, 309/7328) = 111549

LCM of 361/73, 309/7328

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 361/73,309/7328

Given numbers are 361/73,309/7328

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 361,309

Least Common Multiple of Numerators i.e. LCM of 361,309 is 111549.

GCF of Denominators means GCF of 73,7328 as per the given fractions.

GCF of 73,7328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,309

LCM of Fractions 361/73,309/7328 is 111549

Given numbers has no common factors except 1. So, there LCM is their product i.e 111549

Least Common Multiple of 361,309 with GCF Formula

Least Common Multiple of 361,309 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 361,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,309) = 1

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

GCF(361,309) x common factors =1 x 1 = 1

LCM(361,309) = ( 361 × 309 ) / 1

LCM(361,309) = 111549 / 1

LCM(361,309) = 111549


Lets's calculate GCF of 73,7328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111549/1

Therefore the LCM of Fractions 361/73,309/7328 is 111549

Greatest Common Factor of 73,7328 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,7328 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Greatest Common Factor

We found the factors 73,7328 . The biggest common factor number is the GCF number.
So the greatest common factor 73,7328 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 361/73, 309/7328

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 361/73, 309/7328?

Answer: LCM of Numerators as per given numbers 361/73, 309/7328 is

LCM of Numerators i.e. for 361,309 is 111549

GCF of denominators i.e. for 73,7328 is 1.

Thus, LCM of Fractions is 111549.Finally, LCM of Fractions for 361/73, 309/7328 is 111549.