Given Numbers are 387, 394

We can find the LCM of 387, 394 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 387 and 394

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

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 387, 394 which is 152478

So, the LCM of 387, 394 is 152478.

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

Prime factors of 387 are 3,43.

387 = 3²×43¹

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: 3,43, 2,197

2¹×3²×43¹×197¹ = 152478

This shows that the LCM of 387 and 394 is 152478.

The first step in determining the Least Common Multiple of 387 and 394 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 387 and 394:

Lets look at the first ten multiples of these numbers, 387 and 394:

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

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 387 and 394, for example, are 4644, 6579, and 6304. 152478 is the least common multiple since it is the smallest.

387 and 394 have an LCM of 152478.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 387 and 394, than apply into the LCM equation.

GCF(387,394) = 1
LCM(387,394) = ( 387 × 394) / 1
LCM(387,394) = 152478 / 1
LCM(387,394) = 152478

1. What is the LCM of 387 and 394?

The LCM of 387 and 394 is 152478.

2. How to find the lowest common multiple of 387 and 394?

To find the lowest common multiple of 387 and 394, we have to get the multip;es of both numbers and identify the least common multiple in them which is 152478.

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 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 387 and 394 = 152478

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

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 = 152478 = 2 x 3 x 3 x 43 x 197

Step 4: Therefore, the least common multiple of 387 and 394 is 152478.