Given Numbers are 388, 394

We can find the LCM of 388, 394 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 388 and 394

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

Multiples of 394 =394,788,1182,1576,1970,2364,2758,3152,3546,3940,4334,4728,5122,5516,5910,6304,6698,

Now, get the least common multiple of 388, 394 which is 76436

So, the LCM of 388, 394 is 76436.

One method for determining the LCM of 388 and 394 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 394's prime factorization:

Prime factors of 394 are 2,197.

394 = 2¹×197¹

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: 2,97,197

2²×97¹×197¹ = 76436

This shows that the LCM of 388 and 394 is 76436.

The first step in determining the Least Common Multiple of 388 and 394 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 388 and 394:

Lets look at the first ten multiples of these numbers, 388 and 394:

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

394,788,1182,1576,1970,2364,2758,3152,3546,6698 are the first ten multiples of 394.

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 394, for example, are 4656, 6596, and 6304. 76436 is the least common multiple since it is the smallest.

388 and 394 have an LCM of 76436.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 388 and 394, than apply into the LCM equation.

GCF(388,394) = 2
LCM(388,394) = ( 388 × 394) / 2
LCM(388,394) = 152872 / 2
LCM(388,394) = 76436

1. What is the LCM of 388 and 394?

The LCM of 388 and 394 is 76436.

2. How to find the lowest common multiple of 388 and 394?

To find the lowest common multiple of 388 and 394, we have to get the multip;es of both numbers and identify the least common multiple in them which is 76436.

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 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

Answer:

Least Common Multiple of 388 and 394 = 76436

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 394

394 = 2 x 197

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

LCM = 76436 = 2 x 2 x 97 x 197

Step 4: Therefore, the least common multiple of 388 and 394 is 76436.