Least Common Multiple of 51/384, 9454/4242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/384, 9454/4242 quickly i.e. 80359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/384, 9454/4242 is 80359.

LCM(51/384, 9454/4242) = 80359

LCM of 51/384, 9454/4242

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 51/384,9454/4242

Given numbers are 51/384,9454/4242

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 51,9454

Least Common Multiple of Numerators i.e. LCM of 51,9454 is 482154.

GCF of Denominators means GCF of 384,4242 as per the given fractions.

GCF of 384,4242 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,9454

LCM of Fractions 51/384,9454/4242 is 80359

Given numbers has no common factors except 1. So, there LCM is their product i.e 482154

Least Common Multiple of 51,9454 with GCF Formula

Least Common Multiple of 51,9454 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 51,9454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,9454) = 1

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

GCF(51,9454) x common factors =1 x 1 = 1

LCM(51,9454) = ( 51 × 9454 ) / 1

LCM(51,9454) = 482154 / 1

LCM(51,9454) = 482154


Lets's calculate GCF of 384,4242

2 384, 4242
3 192, 2121
64, 707

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482154/6

Therefore the LCM of Fractions 51/384,9454/4242 is 80359

Greatest Common Factor of 384,4242 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,4242 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Greatest Common Factor

We found the factors 384,4242 . The biggest common factor number is the GCF number.
So the greatest common factor 384,4242 is 6.


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 51/384, 9454/4242

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 51/384, 9454/4242?

Answer: LCM of Numerators as per given numbers 51/384, 9454/4242 is

LCM of Numerators i.e. for 51,9454 is 482154

GCF of denominators i.e. for 384,4242 is 6.

Thus, LCM of Fractions is 80359.Finally, LCM of Fractions for 51/384, 9454/4242 is 80359.