Given Numbers are 321, 329

We can find the LCM of 321, 329 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 321 and 329

Multiples of 321 =321,642,963,1284,1605,1926,2247,2568,2889,3210,3531,3852,4173,4494,4815,5136,5457,

Multiples of 329 =329,658,987,1316,1645,1974,2303,2632,2961,3290,3619,3948,4277,4606,4935,5264,5593,

Now, get the least common multiple of 321, 329 which is 105609

So, the LCM of 321, 329 is 105609.

One method for determining the LCM of 321 and 329 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 321's prime factorization:

Prime factors of 321 are 3,107.

321 = 3¹×107¹

And this is 329's prime factorization:

Prime factors of 329 are 7,47.

329 = 7¹×47¹

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: 3,107, 7,47

3¹×7¹×47¹×107¹ = 105609

This shows that the LCM of 321 and 329 is 105609.

The first step in determining the Least Common Multiple of 321 and 329 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 321 and 329:

Lets look at the first ten multiples of these numbers, 321 and 329:

321,642,963,1284,1605,1926,2247,2568,2889,5457 are the first ten multiples of 321.

329,658,987,1316,1645,1974,2303,2632,2961,5593 are the first ten multiples of 329.

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 321 and 329, for example, are 3852, 5457, and 5264. 105609 is the least common multiple since it is the smallest.

321 and 329 have an LCM of 105609.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321 and 329, than apply into the LCM equation.

GCF(321,329) = 1
LCM(321,329) = ( 321 × 329) / 1
LCM(321,329) = 105609 / 1
LCM(321,329) = 105609

1. What is the LCM of 321 and 329?

The LCM of 321 and 329 is 105609.

2. How to find the lowest common multiple of 321 and 329?

To find the lowest common multiple of 321 and 329, we have to get the multip;es of both numbers and identify the least common multiple in them which is 105609.

3. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

4. What are the Factors of 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

Answer:

Least Common Multiple of 321 and 329 = 105609

Step 1: Find the prime factorization of 321

321 = 3 x 107

Step 2: Find the prime factorization of 329

329 = 7 x 47

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

LCM = 105609 = 3 x 7 x 47 x 107

Step 4: Therefore, the least common multiple of 321 and 329 is 105609.