Given Numbers are 384, 388

We can find the LCM of 384, 388 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 384 and 388

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

Multiples of 388 =388,776,1164,1552,1940,2328,2716,3104,3492,3880,4268,4656,5044,5432,5820,6208,6596,

Now, get the least common multiple of 384, 388 which is 37248

So, the LCM of 384, 388 is 37248.

One method for determining the LCM of 384 and 388 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 388's prime factorization:

Prime factors of 388 are 2,97.

388 = 2²×97¹

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: 2,3,97

2⁷×3¹×97¹ = 37248

This shows that the LCM of 384 and 388 is 37248.

The first step in determining the Least Common Multiple of 384 and 388 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 384 and 388:

Lets look at the first ten multiples of these numbers, 384 and 388:

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

388,776,1164,1552,1940,2328,2716,3104,3492,6596 are the first ten multiples of 388.

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 388, for example, are 4608, 6528, and 6208. 37248 is the least common multiple since it is the smallest.

384 and 388 have an LCM of 37248.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 388, than apply into the LCM equation.

GCF(384,388) = 4
LCM(384,388) = ( 384 × 388) / 4
LCM(384,388) = 148992 / 4
LCM(384,388) = 37248

1. What is the LCM of 384 and 388?

The LCM of 384 and 388 is 37248.

2. How to find the lowest common multiple of 384 and 388?

To find the lowest common multiple of 384 and 388, we have to get the multip;es of both numbers and identify the least common multiple in them which is 37248.

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 388?

Answer: Factors of 388 are 1, 2, 4, 97, 194, 388. There are 6 integers that are factors of 388. The greatest factor of 388 is 388.

Answer:

Least Common Multiple of 384 and 388 = 37248

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 388

388 = 2 x 2 x 97

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

LCM = 37248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 4: Therefore, the least common multiple of 384 and 388 is 37248.