Least Common Multiple of 409/331, 203/580, 305/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/331, 203/580, 305/193 quickly i.e. 25323235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/331, 203/580, 305/193 is 25323235.

LCM(409/331, 203/580, 305/193) = 25323235

LCM of 409/331, 203/580, 305/193

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 409/331,203/580,305/193

Given numbers are 409/331,203/580,305/193

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 409,203,305

Least Common Multiple of Numerators i.e. LCM of 409,203,305 is 25323235.

GCF of Denominators means GCF of 331,580,193 as per the given fractions.

GCF of 331,580,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,203,305

LCM of Fractions 409/331,203/580,305/193 is 25323235

Given numbers has no common factors except 1. So, there LCM is their product i.e 25323235

Least Common Multiple of 409,203,305 with GCF Formula

Least Common Multiple of 409,203,305 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 409,203,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,203,305) = 1

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

GCF(409,203,305) x common factors =1 x 1 = 1

LCM(409,203,305) = ( 409 × 203 × 305 ) / 1

LCM(409,203,305) = 25323235 / 1

LCM(409,203,305) = 25323235


Lets's calculate GCF of 331,580,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25323235/1

Therefore the LCM of Fractions 409/331,203/580,305/193 is 25323235

Greatest Common Factor of 331,580,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,580,193 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 331,580,193 . The biggest common factor number is the GCF number.
So the greatest common factor 331,580,193 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 409/331, 203/580, 305/193

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 409/331, 203/580, 305/193?

Answer: LCM of Numerators as per given numbers 409/331, 203/580, 305/193 is

LCM of Numerators i.e. for 409,203,305 is 25323235

GCF of denominators i.e. for 331,580,193 is 1.

Thus, LCM of Fractions is 25323235.Finally, LCM of Fractions for 409/331, 203/580, 305/193 is 25323235.