Given Numbers are 331, 335

We can find the LCM of 331, 335 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 331 and 335

Multiples of 331 =331,662,993,1324,1655,1986,2317,2648,2979,3310,3641,3972,4303,4634,4965,5296,5627,

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 331, 335 which is 110885

So, the LCM of 331, 335 is 110885.

One method for determining the LCM of 331 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 331's prime factorization:

Prime factors of 331 are 331.

331 = 331¹

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:331, 5,67

5¹×67¹×331¹ = 110885

This shows that the LCM of 331 and 335 is 110885.

The first step in determining the Least Common Multiple of 331 and 335 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 331 and 335:

Lets look at the first ten multiples of these numbers, 331 and 335:

331,662,993,1324,1655,1986,2317,2648,2979,5627 are the first ten multiples of 331.

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 331 and 335, for example, are 3972, 5627, and 5360. 110885 is the least common multiple since it is the smallest.

331 and 335 have an LCM of 110885.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 335, than apply into the LCM equation.

GCF(331,335) = 1
LCM(331,335) = ( 331 × 335) / 1
LCM(331,335) = 110885 / 1
LCM(331,335) = 110885

1. What is the LCM of 331 and 335?

The LCM of 331 and 335 is 110885.

2. How to find the lowest common multiple of 331 and 335?

To find the lowest common multiple of 331 and 335, we have to get the multip;es of both numbers and identify the least common multiple in them which is 110885.

3. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

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 331 and 335 = 110885

Step 1: Find the prime factorization of 331

331 = 331

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 = 110885 = 5 x 67 x 331

Step 4: Therefore, the least common multiple of 331 and 335 is 110885.