Least Common Multiple of 605/180, 369/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 605/180, 369/329 quickly i.e. 223245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/180, 369/329 is 223245.

LCM(605/180, 369/329) = 223245

LCM of 605/180, 369/329

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 605/180,369/329

Given numbers are 605/180,369/329

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 605,369

Least Common Multiple of Numerators i.e. LCM of 605,369 is 223245.

GCF of Denominators means GCF of 180,329 as per the given fractions.

GCF of 180,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,369

LCM of Fractions 605/180,369/329 is 223245

Given numbers has no common factors except 1. So, there LCM is their product i.e 223245

Least Common Multiple of 605,369 with GCF Formula

Least Common Multiple of 605,369 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 605,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,369) = 1

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

GCF(605,369) x common factors =1 x 1 = 1

LCM(605,369) = ( 605 × 369 ) / 1

LCM(605,369) = 223245 / 1

LCM(605,369) = 223245


Lets's calculate GCF of 180,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223245/1

Therefore the LCM of Fractions 605/180,369/329 is 223245

Greatest Common Factor of 180,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,329 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 180,329 . The biggest common factor number is the GCF number.
So the greatest common factor 180,329 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 605/180, 369/329

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 605/180, 369/329?

Answer: LCM of Numerators as per given numbers 605/180, 369/329 is

LCM of Numerators i.e. for 605,369 is 223245

GCF of denominators i.e. for 180,329 is 1.

Thus, LCM of Fractions is 223245.Finally, LCM of Fractions for 605/180, 369/329 is 223245.