Given Numbers are 387, 391

We can find the LCM of 387, 391 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 387 and 391

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

Multiples of 391 =391,782,1173,1564,1955,2346,2737,3128,3519,3910,4301,4692,5083,5474,5865,6256,6647,

Now, get the least common multiple of 387, 391 which is 151317

So, the LCM of 387, 391 is 151317.

One method for determining the LCM of 387 and 391 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 387's prime factorization:

Prime factors of 387 are 3,43.

387 = 3²×43¹

And this is 391's prime factorization:

Prime factors of 391 are 17,23.

391 = 17¹×23¹

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: 3,43, 17,23

3²×17¹×23¹×43¹ = 151317

This shows that the LCM of 387 and 391 is 151317.

The first step in determining the Least Common Multiple of 387 and 391 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 387 and 391:

Lets look at the first ten multiples of these numbers, 387 and 391:

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

391,782,1173,1564,1955,2346,2737,3128,3519,6647 are the first ten multiples of 391.

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 387 and 391, for example, are 4644, 6579, and 6256. 151317 is the least common multiple since it is the smallest.

387 and 391 have an LCM of 151317.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 387 and 391, than apply into the LCM equation.

GCF(387,391) = 1
LCM(387,391) = ( 387 × 391) / 1
LCM(387,391) = 151317 / 1
LCM(387,391) = 151317

1. What is the LCM of 387 and 391?

The LCM of 387 and 391 is 151317.

2. How to find the lowest common multiple of 387 and 391?

To find the lowest common multiple of 387 and 391, we have to get the multip;es of both numbers and identify the least common multiple in them which is 151317.

3. 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.

4. What are the Factors of 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

Answer:

Least Common Multiple of 387 and 391 = 151317

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

LCM = 151317 = 3 x 3 x 17 x 23 x 43

Step 4: Therefore, the least common multiple of 387 and 391 is 151317.