Given Numbers are 382, 388

We can find the LCM of 382, 388 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 382 and 388

Multiples of 382 =382,764,1146,1528,1910,2292,2674,3056,3438,3820,4202,4584,4966,5348,5730,6112,6494,

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 382, 388 which is 74108

So, the LCM of 382, 388 is 74108.

One method for determining the LCM of 382 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 382's prime factorization:

Prime factors of 382 are 2,191.

382 = 2¹×191¹

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: 2,191,97

2²×97¹×191¹ = 74108

This shows that the LCM of 382 and 388 is 74108.

The first step in determining the Least Common Multiple of 382 and 388 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 382 and 388:

Lets look at the first ten multiples of these numbers, 382 and 388:

382,764,1146,1528,1910,2292,2674,3056,3438,6494 are the first ten multiples of 382.

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 382 and 388, for example, are 4584, 6494, and 6208. 74108 is the least common multiple since it is the smallest.

382 and 388 have an LCM of 74108.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 388, than apply into the LCM equation.

GCF(382,388) = 2
LCM(382,388) = ( 382 × 388) / 2
LCM(382,388) = 148216 / 2
LCM(382,388) = 74108

1. What is the LCM of 382 and 388?

The LCM of 382 and 388 is 74108.

2. How to find the lowest common multiple of 382 and 388?

To find the lowest common multiple of 382 and 388, we have to get the multip;es of both numbers and identify the least common multiple in them which is 74108.

3. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

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 382 and 388 = 74108

Step 1: Find the prime factorization of 382

382 = 2 x 191

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 = 74108 = 2 x 2 x 97 x 191

Step 4: Therefore, the least common multiple of 382 and 388 is 74108.