Given Numbers are 330, 338

We can find the LCM of 330, 338 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 330 and 338

Multiples of 330 =330,660,990,1320,1650,1980,2310,2640,2970,3300,3630,3960,4290,4620,4950,5280,5610,

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 330, 338 which is 55770

So, the LCM of 330, 338 is 55770.

One method for determining the LCM of 330 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 330's prime factorization:

Prime factors of 330 are 2, 3, 5,11.

330 = 2¹×3¹×5¹×11¹

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: 2, 3, 5,11,13

2¹×3¹×5¹×11¹×13² = 55770

This shows that the LCM of 330 and 338 is 55770.

The first step in determining the Least Common Multiple of 330 and 338 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 330 and 338:

Lets look at the first ten multiples of these numbers, 330 and 338:

330,660,990,1320,1650,1980,2310,2640,2970,5610 are the first ten multiples of 330.

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 330 and 338, for example, are 3960, 5610, and 5408. 55770 is the least common multiple since it is the smallest.

330 and 338 have an LCM of 55770.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 330 and 338, than apply into the LCM equation.

GCF(330,338) = 2
LCM(330,338) = ( 330 × 338) / 2
LCM(330,338) = 111540 / 2
LCM(330,338) = 55770

1. What is the LCM of 330 and 338?

The LCM of 330 and 338 is 55770.

2. How to find the lowest common multiple of 330 and 338?

To find the lowest common multiple of 330 and 338, we have to get the multip;es of both numbers and identify the least common multiple in them which is 55770.

3. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

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 330 and 338 = 55770

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 = 55770 = 2 x 3 x 5 x 11 x 13 x 13

Step 4: Therefore, the least common multiple of 330 and 338 is 55770.