Given Numbers are 388, 393

We can find the LCM of 388, 393 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 388 and 393

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

Multiples of 393 =393,786,1179,1572,1965,2358,2751,3144,3537,3930,4323,4716,5109,5502,5895,6288,6681,

Now, get the least common multiple of 388, 393 which is 152484

So, the LCM of 388, 393 is 152484.

One method for determining the LCM of 388 and 393 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 393's prime factorization:

Prime factors of 393 are 3,131.

393 = 3¹×131¹

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, 3,131

2²×3¹×97¹×131¹ = 152484

This shows that the LCM of 388 and 393 is 152484.

The first step in determining the Least Common Multiple of 388 and 393 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 388 and 393:

Lets look at the first ten multiples of these numbers, 388 and 393:

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

393,786,1179,1572,1965,2358,2751,3144,3537,6681 are the first ten multiples of 393.

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 393, for example, are 4656, 6596, and 6288. 152484 is the least common multiple since it is the smallest.

388 and 393 have an LCM of 152484.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 388 and 393, than apply into the LCM equation.

GCF(388,393) = 1
LCM(388,393) = ( 388 × 393) / 1
LCM(388,393) = 152484 / 1
LCM(388,393) = 152484

1. What is the LCM of 388 and 393?

The LCM of 388 and 393 is 152484.

2. How to find the lowest common multiple of 388 and 393?

To find the lowest common multiple of 388 and 393, we have to get the multip;es of both numbers and identify the least common multiple in them which is 152484.

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 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

Answer:

Least Common Multiple of 388 and 393 = 152484

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 393

393 = 3 x 131

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

LCM = 152484 = 2 x 2 x 3 x 97 x 131

Step 4: Therefore, the least common multiple of 388 and 393 is 152484.