Given Numbers are 329, 335

We can find the LCM of 329, 335 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 329 and 335

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

Multiples of 335 =335,670,1005,1340,1675,2010,2345,2680,3015,3350,3685,4020,4355,4690,5025,5360,5695,

Now, get the least common multiple of 329, 335 which is 110215

So, the LCM of 329, 335 is 110215.

One method for determining the LCM of 329 and 335 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 329's prime factorization:

Prime factors of 329 are 7,47.

329 = 7¹×47¹

And this is 335's prime factorization:

Prime factors of 335 are 5,67.

335 = 5¹×67¹

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: 7,47, 5,67

5¹×7¹×47¹×67¹ = 110215

This shows that the LCM of 329 and 335 is 110215.

The first step in determining the Least Common Multiple of 329 and 335 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 329 and 335:

Lets look at the first ten multiples of these numbers, 329 and 335:

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

335,670,1005,1340,1675,2010,2345,2680,3015,5695 are the first ten multiples of 335.

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 329 and 335, for example, are 3948, 5593, and 5360. 110215 is the least common multiple since it is the smallest.

329 and 335 have an LCM of 110215.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 335, than apply into the LCM equation.

GCF(329,335) = 1
LCM(329,335) = ( 329 × 335) / 1
LCM(329,335) = 110215 / 1
LCM(329,335) = 110215

1. What is the LCM of 329 and 335?

The LCM of 329 and 335 is 110215.

2. How to find the lowest common multiple of 329 and 335?

To find the lowest common multiple of 329 and 335, we have to get the multip;es of both numbers and identify the least common multiple in them which is 110215.

3. 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.

4. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

Answer:

Least Common Multiple of 329 and 335 = 110215

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 335

335 = 5 x 67

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

LCM = 110215 = 5 x 7 x 47 x 67

Step 4: Therefore, the least common multiple of 329 and 335 is 110215.