Given Numbers are 384, 389

We can find the LCM of 384, 389 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 384 and 389

Multiples of 384 =384,768,1152,1536,1920,2304,2688,3072,3456,3840,4224,4608,4992,5376,5760,6144,6528,

Multiples of 389 =389,778,1167,1556,1945,2334,2723,3112,3501,3890,4279,4668,5057,5446,5835,6224,6613,

Now, get the least common multiple of 384, 389 which is 149376

So, the LCM of 384, 389 is 149376.

One method for determining the LCM of 384 and 389 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 384's prime factorization:

Prime factors of 384 are 2,3.

384 = 2⁷×3¹

And this is 389's prime factorization:

Prime factors of 389 are 389.

389 = 389¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,3,389

2⁷×3¹×389¹ = 149376

This shows that the LCM of 384 and 389 is 149376.

The first step in determining the Least Common Multiple of 384 and 389 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 384 and 389:

Lets look at the first ten multiples of these numbers, 384 and 389:

384,768,1152,1536,1920,2304,2688,3072,3456,6528 are the first ten multiples of 384.

389,778,1167,1556,1945,2334,2723,3112,3501,6613 are the first ten multiples of 389.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 384 and 389, for example, are 4608, 6528, and 6224. 149376 is the least common multiple since it is the smallest.

384 and 389 have an LCM of 149376.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 389, than apply into the LCM equation.

GCF(384,389) = 1
LCM(384,389) = ( 384 × 389) / 1
LCM(384,389) = 149376 / 1
LCM(384,389) = 149376

1. What is the LCM of 384 and 389?

The LCM of 384 and 389 is 149376.

2. How to find the lowest common multiple of 384 and 389?

To find the lowest common multiple of 384 and 389, we have to get the multip;es of both numbers and identify the least common multiple in them which is 149376.

3. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

4. What are the Factors of 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

Answer:

Least Common Multiple of 384 and 389 = 149376

Step 1: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 389

389 = 389

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 149376 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 389

Step 4: Therefore, the least common multiple of 384 and 389 is 149376.