Least Common Multiple of 305/367, 727/433, 305/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/367, 727/433, 305/173 quickly i.e. 221735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/367, 727/433, 305/173 is 221735.

LCM(305/367, 727/433, 305/173) = 221735

LCM of 305/367, 727/433, 305/173

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 305/367,727/433,305/173

Given numbers are 305/367,727/433,305/173

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 305,727,305

Least Common Multiple of Numerators i.e. LCM of 305,727,305 is 221735.

GCF of Denominators means GCF of 367,433,173 as per the given fractions.

GCF of 367,433,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,727,305

LCM of Fractions 305/367,727/433,305/173 is 221735

5 305, 727, 305
61 61, 727, 61
1, 727, 1

∴ So the LCM of the given numbers is 5 x 61 x 1 x 727 x 1 = 221735

Least Common Multiple of 305,727,305 with GCF Formula

Least Common Multiple of 305,727,305 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 305,727,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,727,305) = 1

common factors(in case of two or more numbers have common factors) = 305

GCF(305,727,305) x common factors =1 x 305 = 305

LCM(305,727,305) = ( 305 × 727 × 305 ) / 305

LCM(305,727,305) = 67629175 / 305

LCM(305,727,305) = 221735


Lets's calculate GCF of 367,433,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221735/1

Therefore the LCM of Fractions 305/367,727/433,305/173 is 221735

Greatest Common Factor of 367,433,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,433,173 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 367,433,173 . The biggest common factor number is the GCF number.
So the greatest common factor 367,433,173 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 305/367, 727/433, 305/173

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 305/367, 727/433, 305/173?

Answer: LCM of Numerators as per given numbers 305/367, 727/433, 305/173 is

LCM of Numerators i.e. for 305,727,305 is 221735

GCF of denominators i.e. for 367,433,173 is 1.

Thus, LCM of Fractions is 221735.Finally, LCM of Fractions for 305/367, 727/433, 305/173 is 221735.