Given Numbers are 334, 339

We can find the LCM of 334, 339 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 334 and 339

Multiples of 334 =334,668,1002,1336,1670,2004,2338,2672,3006,3340,3674,4008,4342,4676,5010,5344,5678,

Multiples of 339 =339,678,1017,1356,1695,2034,2373,2712,3051,3390,3729,4068,4407,4746,5085,5424,5763,

Now, get the least common multiple of 334, 339 which is 113226

So, the LCM of 334, 339 is 113226.

One method for determining the LCM of 334 and 339 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 334's prime factorization:

Prime factors of 334 are 2,167.

334 = 2¹×167¹

And this is 339's prime factorization:

Prime factors of 339 are 3,113.

339 = 3¹×113¹

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: 2,167, 3,113

2¹×3¹×113¹×167¹ = 113226

This shows that the LCM of 334 and 339 is 113226.

The first step in determining the Least Common Multiple of 334 and 339 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 334 and 339:

Lets look at the first ten multiples of these numbers, 334 and 339:

334,668,1002,1336,1670,2004,2338,2672,3006,5678 are the first ten multiples of 334.

339,678,1017,1356,1695,2034,2373,2712,3051,5763 are the first ten multiples of 339.

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 334 and 339, for example, are 4008, 5678, and 5424. 113226 is the least common multiple since it is the smallest.

334 and 339 have an LCM of 113226.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 334 and 339, than apply into the LCM equation.

GCF(334,339) = 1
LCM(334,339) = ( 334 × 339) / 1
LCM(334,339) = 113226 / 1
LCM(334,339) = 113226

1. What is the LCM of 334 and 339?

The LCM of 334 and 339 is 113226.

2. How to find the lowest common multiple of 334 and 339?

To find the lowest common multiple of 334 and 339, we have to get the multip;es of both numbers and identify the least common multiple in them which is 113226.

3. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

4. What are the Factors of 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

Answer:

Least Common Multiple of 334 and 339 = 113226

Step 1: Find the prime factorization of 334

334 = 2 x 167

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 113226 = 2 x 3 x 113 x 167

Step 4: Therefore, the least common multiple of 334 and 339 is 113226.