Given Numbers are 382, 387

We can find the LCM of 382, 387 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 382 and 387

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

Multiples of 387 =387,774,1161,1548,1935,2322,2709,3096,3483,3870,4257,4644,5031,5418,5805,6192,6579,

Now, get the least common multiple of 382, 387 which is 147834

So, the LCM of 382, 387 is 147834.

One method for determining the LCM of 382 and 387 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 387's prime factorization:

Prime factors of 387 are 3,43.

387 = 3²×43¹

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, 3,43

2¹×3²×43¹×191¹ = 147834

This shows that the LCM of 382 and 387 is 147834.

The first step in determining the Least Common Multiple of 382 and 387 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 382 and 387:

Lets look at the first ten multiples of these numbers, 382 and 387:

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

387,774,1161,1548,1935,2322,2709,3096,3483,6579 are the first ten multiples of 387.

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 387, for example, are 4584, 6494, and 6192. 147834 is the least common multiple since it is the smallest.

382 and 387 have an LCM of 147834.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 387, than apply into the LCM equation.

GCF(382,387) = 1
LCM(382,387) = ( 382 × 387) / 1
LCM(382,387) = 147834 / 1
LCM(382,387) = 147834

1. What is the LCM of 382 and 387?

The LCM of 382 and 387 is 147834.

2. How to find the lowest common multiple of 382 and 387?

To find the lowest common multiple of 382 and 387, we have to get the multip;es of both numbers and identify the least common multiple in them which is 147834.

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 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

Answer:

Least Common Multiple of 382 and 387 = 147834

Step 1: Find the prime factorization of 382

382 = 2 x 191

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

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

LCM = 147834 = 2 x 3 x 3 x 43 x 191

Step 4: Therefore, the least common multiple of 382 and 387 is 147834.