Given Numbers are 333, 338

We can find the LCM of 333, 338 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 333 and 338

Multiples of 333 =333,666,999,1332,1665,1998,2331,2664,2997,3330,3663,3996,4329,4662,4995,5328,5661,

Multiples of 338 =338,676,1014,1352,1690,2028,2366,2704,3042,3380,3718,4056,4394,4732,5070,5408,5746,

Now, get the least common multiple of 333, 338 which is 112554

So, the LCM of 333, 338 is 112554.

One method for determining the LCM of 333 and 338 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 333's prime factorization:

Prime factors of 333 are 3,37.

333 = 3²×37¹

And this is 338's prime factorization:

Prime factors of 338 are 2,13.

338 = 2¹×13²

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: 3,37, 2,13

2¹×3²×13²×37¹ = 112554

This shows that the LCM of 333 and 338 is 112554.

The first step in determining the Least Common Multiple of 333 and 338 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 333 and 338:

Lets look at the first ten multiples of these numbers, 333 and 338:

333,666,999,1332,1665,1998,2331,2664,2997,5661 are the first ten multiples of 333.

338,676,1014,1352,1690,2028,2366,2704,3042,5746 are the first ten multiples of 338.

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 333 and 338, for example, are 3996, 5661, and 5408. 112554 is the least common multiple since it is the smallest.

333 and 338 have an LCM of 112554.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 338, than apply into the LCM equation.

GCF(333,338) = 1
LCM(333,338) = ( 333 × 338) / 1
LCM(333,338) = 112554 / 1
LCM(333,338) = 112554

1. What is the LCM of 333 and 338?

The LCM of 333 and 338 is 112554.

2. How to find the lowest common multiple of 333 and 338?

To find the lowest common multiple of 333 and 338, we have to get the multip;es of both numbers and identify the least common multiple in them which is 112554.

3. What are the Factors of 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

4. What are the Factors of 338?

Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.

Answer:

Least Common Multiple of 333 and 338 = 112554

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 338

338 = 2 x 13 x 13

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

LCM = 112554 = 2 x 3 x 3 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 333 and 338 is 112554.