Least Common Multiple of 183/24, 171/7839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 183/24, 171/7839 quickly i.e. 3477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 183/24, 171/7839 is 3477.

LCM(183/24, 171/7839) = 3477

LCM of 183/24, 171/7839

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 183/24,171/7839

Given numbers are 183/24,171/7839

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 183,171

Least Common Multiple of Numerators i.e. LCM of 183,171 is 10431.

GCF of Denominators means GCF of 24,7839 as per the given fractions.

GCF of 24,7839 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 183,171

LCM of Fractions 183/24,171/7839 is 3477

3 183, 171
61, 57

∴ So the LCM of the given numbers is 3 x 61 x 57 = 10431

Least Common Multiple of 183,171 with GCF Formula

Least Common Multiple of 183,171 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 183,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,171) = 3

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

GCF(183,171) x common factors =3 x 1 = 3

LCM(183,171) = ( 183 × 171 ) / 3

LCM(183,171) = 31293 / 3

LCM(183,171) = 10431


Lets's calculate GCF of 24,7839

3 24, 7839
8, 2613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10431/3

Therefore the LCM of Fractions 183/24,171/7839 is 3477

Greatest Common Factor of 24,7839 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7839 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1,3,9,13,39,67,117,201,603,871,2613,7839

Greatest Common Factor

We found the factors 24,7839 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7839 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 183/24, 171/7839

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 183/24, 171/7839?

Answer: LCM of Numerators as per given numbers 183/24, 171/7839 is

LCM of Numerators i.e. for 183,171 is 10431

GCF of denominators i.e. for 24,7839 is 3.

Thus, LCM of Fractions is 3477.Finally, LCM of Fractions for 183/24, 171/7839 is 3477.