Least Common Multiple of 16/384, 4589/2043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/384, 4589/2043 quickly i.e. 73424/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/384, 4589/2043 is 73424/3.

LCM(16/384, 4589/2043) = 73424/3

LCM of 16/384, 4589/2043

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 16/384,4589/2043

Given numbers are 16/384,4589/2043

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 16,4589

Least Common Multiple of Numerators i.e. LCM of 16,4589 is 73424.

GCF of Denominators means GCF of 384,2043 as per the given fractions.

GCF of 384,2043 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,4589

LCM of Fractions 16/384,4589/2043 is 73424/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 73424

Least Common Multiple of 16,4589 with GCF Formula

Least Common Multiple of 16,4589 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 16,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,4589) = 1

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

GCF(16,4589) x common factors =1 x 1 = 1

LCM(16,4589) = ( 16 × 4589 ) / 1

LCM(16,4589) = 73424 / 1

LCM(16,4589) = 73424


Lets's calculate GCF of 384,2043

3 384, 2043
128, 681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73424/3

Therefore the LCM of Fractions 16/384,4589/2043 is 73424/3

Greatest Common Factor of 384,2043 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,2043 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 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1,3,9,227,681,2043

Greatest Common Factor

We found the factors 384,2043 . The biggest common factor number is the GCF number.
So the greatest common factor 384,2043 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 16/384, 4589/2043

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 16/384, 4589/2043?

Answer: LCM of Numerators as per given numbers 16/384, 4589/2043 is

LCM of Numerators i.e. for 16,4589 is 73424

GCF of denominators i.e. for 384,2043 is 3.

Thus, LCM of Fractions is 73424/3.Finally, LCM of Fractions for 16/384, 4589/2043 is 73424/3.