Least Common Multiple of 54/300, 4233/5120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/300, 4233/5120 quickly i.e. 76194/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/300, 4233/5120 is 76194/20.

LCM(54/300, 4233/5120) = 76194/20

LCM of 54/300, 4233/5120

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 54/300,4233/5120

Given numbers are 54/300,4233/5120

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 54,4233

Least Common Multiple of Numerators i.e. LCM of 54,4233 is 76194.

GCF of Denominators means GCF of 300,5120 as per the given fractions.

GCF of 300,5120 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,4233

LCM of Fractions 54/300,4233/5120 is 76194/20

3 54, 4233
18, 1411

∴ So the LCM of the given numbers is 3 x 18 x 1411 = 76194

Least Common Multiple of 54,4233 with GCF Formula

Least Common Multiple of 54,4233 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 54,4233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,4233) = 3

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

GCF(54,4233) x common factors =3 x 1 = 3

LCM(54,4233) = ( 54 × 4233 ) / 3

LCM(54,4233) = 228582 / 3

LCM(54,4233) = 76194


Lets's calculate GCF of 300,5120

2 300, 5120
2 150, 2560
5 75, 1280
15, 256

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76194/20

Therefore the LCM of Fractions 54/300,4233/5120 is 76194/20

Greatest Common Factor of 300,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,5120 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 300,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 300,5120 is 20.


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 54/300, 4233/5120

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 54/300, 4233/5120?

Answer: LCM of Numerators as per given numbers 54/300, 4233/5120 is

LCM of Numerators i.e. for 54,4233 is 76194

GCF of denominators i.e. for 300,5120 is 20.

Thus, LCM of Fractions is 76194/20.Finally, LCM of Fractions for 54/300, 4233/5120 is 76194/20.