Least Common Multiple of 993/39, 234/4845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/39, 234/4845 quickly i.e. 25818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/39, 234/4845 is 25818.

LCM(993/39, 234/4845) = 25818

LCM of 993/39, 234/4845

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 993/39,234/4845

Given numbers are 993/39,234/4845

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 993,234

Least Common Multiple of Numerators i.e. LCM of 993,234 is 77454.

GCF of Denominators means GCF of 39,4845 as per the given fractions.

GCF of 39,4845 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,234

LCM of Fractions 993/39,234/4845 is 25818

3 993, 234
331, 78

∴ So the LCM of the given numbers is 3 x 331 x 78 = 77454

Least Common Multiple of 993,234 with GCF Formula

Least Common Multiple of 993,234 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 993,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,234) = 3

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

GCF(993,234) x common factors =3 x 1 = 3

LCM(993,234) = ( 993 × 234 ) / 3

LCM(993,234) = 232362 / 3

LCM(993,234) = 77454


Lets's calculate GCF of 39,4845

3 39, 4845
13, 1615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77454/3

Therefore the LCM of Fractions 993/39,234/4845 is 25818

Greatest Common Factor of 39,4845 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,4845 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Greatest Common Factor

We found the factors 39,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4845 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 993/39, 234/4845

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 993/39, 234/4845?

Answer: LCM of Numerators as per given numbers 993/39, 234/4845 is

LCM of Numerators i.e. for 993,234 is 77454

GCF of denominators i.e. for 39,4845 is 3.

Thus, LCM of Fractions is 25818.Finally, LCM of Fractions for 993/39, 234/4845 is 25818.