Least Common Multiple of 12/171, 2533/2303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/171, 2533/2303 quickly i.e. 30396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/171, 2533/2303 is 30396.

LCM(12/171, 2533/2303) = 30396

LCM of 12/171, 2533/2303

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 12/171,2533/2303

Given numbers are 12/171,2533/2303

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 12,2533

Least Common Multiple of Numerators i.e. LCM of 12,2533 is 30396.

GCF of Denominators means GCF of 171,2303 as per the given fractions.

GCF of 171,2303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,2533

LCM of Fractions 12/171,2533/2303 is 30396

Given numbers has no common factors except 1. So, there LCM is their product i.e 30396

Least Common Multiple of 12,2533 with GCF Formula

Least Common Multiple of 12,2533 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 12,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2533) = 1

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

GCF(12,2533) x common factors =1 x 1 = 1

LCM(12,2533) = ( 12 × 2533 ) / 1

LCM(12,2533) = 30396 / 1

LCM(12,2533) = 30396


Lets's calculate GCF of 171,2303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30396/1

Therefore the LCM of Fractions 12/171,2533/2303 is 30396

Greatest Common Factor of 171,2303 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,2303 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 2303

List of positive integer factors of 2303 that divides 2303 without a remainder.

1,7,47,49,329,2303

Greatest Common Factor

We found the factors 171,2303 . The biggest common factor number is the GCF number.
So the greatest common factor 171,2303 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 12/171, 2533/2303

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 12/171, 2533/2303?

Answer: LCM of Numerators as per given numbers 12/171, 2533/2303 is

LCM of Numerators i.e. for 12,2533 is 30396

GCF of denominators i.e. for 171,2303 is 1.

Thus, LCM of Fractions is 30396.Finally, LCM of Fractions for 12/171, 2533/2303 is 30396.