Given Numbers are 388, 395

We can find the LCM of 388, 395 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 388 and 395

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

Multiples of 395 =395,790,1185,1580,1975,2370,2765,3160,3555,3950,4345,4740,5135,5530,5925,6320,6715,

Now, get the least common multiple of 388, 395 which is 153260

So, the LCM of 388, 395 is 153260.

One method for determining the LCM of 388 and 395 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 395's prime factorization:

Prime factors of 395 are 5,79.

395 = 5¹×79¹

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, 5,79

2²×5¹×79¹×97¹ = 153260

This shows that the LCM of 388 and 395 is 153260.

The first step in determining the Least Common Multiple of 388 and 395 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 388 and 395:

Lets look at the first ten multiples of these numbers, 388 and 395:

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

395,790,1185,1580,1975,2370,2765,3160,3555,6715 are the first ten multiples of 395.

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 395, for example, are 4656, 6596, and 6320. 153260 is the least common multiple since it is the smallest.

388 and 395 have an LCM of 153260.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 388 and 395, than apply into the LCM equation.

GCF(388,395) = 1
LCM(388,395) = ( 388 × 395) / 1
LCM(388,395) = 153260 / 1
LCM(388,395) = 153260

1. What is the LCM of 388 and 395?

The LCM of 388 and 395 is 153260.

2. How to find the lowest common multiple of 388 and 395?

To find the lowest common multiple of 388 and 395, we have to get the multip;es of both numbers and identify the least common multiple in them which is 153260.

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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

Answer:

Least Common Multiple of 388 and 395 = 153260

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 153260 = 2 x 2 x 5 x 79 x 97

Step 4: Therefore, the least common multiple of 388 and 395 is 153260.