Given Numbers are 330, 335

We can find the LCM of 330, 335 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 330 and 335

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

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 330, 335 which is 22110

So, the LCM of 330, 335 is 22110.

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

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

330 = 2¹×3¹×5¹×11¹

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: 2, 3, 5,11,67

2¹×3¹×5¹×11¹×67¹ = 22110

This shows that the LCM of 330 and 335 is 22110.

The first step in determining the Least Common Multiple of 330 and 335 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 330 and 335:

Lets look at the first ten multiples of these numbers, 330 and 335:

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

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 330 and 335, for example, are 3960, 5610, and 5360. 22110 is the least common multiple since it is the smallest.

330 and 335 have an LCM of 22110.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 330 and 335, than apply into the LCM equation.

GCF(330,335) = 5
LCM(330,335) = ( 330 × 335) / 5
LCM(330,335) = 110550 / 5
LCM(330,335) = 22110

1. What is the LCM of 330 and 335?

The LCM of 330 and 335 is 22110.

2. How to find the lowest common multiple of 330 and 335?

To find the lowest common multiple of 330 and 335, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22110.

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 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 330 and 335 = 22110

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 = 22110 = 2 x 3 x 5 x 11 x 67

Step 4: Therefore, the least common multiple of 330 and 335 is 22110.