Least Common Multiple of 171/921, 583/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/921, 583/339 quickly i.e. 33231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/921, 583/339 is 33231.

LCM(171/921, 583/339) = 33231

LCM of 171/921, 583/339

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 171/921,583/339

Given numbers are 171/921,583/339

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 171,583

Least Common Multiple of Numerators i.e. LCM of 171,583 is 99693.

GCF of Denominators means GCF of 921,339 as per the given fractions.

GCF of 921,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,583

LCM of Fractions 171/921,583/339 is 33231

Given numbers has no common factors except 1. So, there LCM is their product i.e 99693

Least Common Multiple of 171,583 with GCF Formula

Least Common Multiple of 171,583 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 171,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,583) = 1

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

GCF(171,583) x common factors =1 x 1 = 1

LCM(171,583) = ( 171 × 583 ) / 1

LCM(171,583) = 99693 / 1

LCM(171,583) = 99693


Lets's calculate GCF of 921,339

3 921, 339
307, 113

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99693/3

Therefore the LCM of Fractions 171/921,583/339 is 33231

Greatest Common Factor of 921,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,339 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 921,339 . The biggest common factor number is the GCF number.
So the greatest common factor 921,339 is 3.


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 171/921, 583/339

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 171/921, 583/339?

Answer: LCM of Numerators as per given numbers 171/921, 583/339 is

LCM of Numerators i.e. for 171,583 is 99693

GCF of denominators i.e. for 921,339 is 3.

Thus, LCM of Fractions is 33231.Finally, LCM of Fractions for 171/921, 583/339 is 33231.