Given Numbers are 388, 392

We can find the LCM of 388, 392 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 388 and 392

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

Multiples of 392 =392,784,1176,1568,1960,2352,2744,3136,3528,3920,4312,4704,5096,5488,5880,6272,6664,

Now, get the least common multiple of 388, 392 which is 38024

So, the LCM of 388, 392 is 38024.

One method for determining the LCM of 388 and 392 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 388's prime factorization:

Prime factors of 388 are 2,97.

388 = 2²×97¹

And this is 392's prime factorization:

Prime factors of 392 are 2,7.

392 = 2³×7²

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: 2,97,7

2³×7²×97¹ = 38024

This shows that the LCM of 388 and 392 is 38024.

The first step in determining the Least Common Multiple of 388 and 392 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 388 and 392:

Lets look at the first ten multiples of these numbers, 388 and 392:

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

392,784,1176,1568,1960,2352,2744,3136,3528,6664 are the first ten multiples of 392.

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 388 and 392, for example, are 4656, 6596, and 6272. 38024 is the least common multiple since it is the smallest.

388 and 392 have an LCM of 38024.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 388 and 392, than apply into the LCM equation.

GCF(388,392) = 4
LCM(388,392) = ( 388 × 392) / 4
LCM(388,392) = 152096 / 4
LCM(388,392) = 38024

1. What is the LCM of 388 and 392?

The LCM of 388 and 392 is 38024.

2. How to find the lowest common multiple of 388 and 392?

To find the lowest common multiple of 388 and 392, we have to get the multip;es of both numbers and identify the least common multiple in them which is 38024.

3. 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.

4. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

Answer:

Least Common Multiple of 388 and 392 = 38024

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

LCM = 38024 = 2 x 2 x 2 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 388 and 392 is 38024.