Given Numbers are 304, 309

We can find the LCM of 304, 309 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 304 and 309

Multiples of 304 =304,608,912,1216,1520,1824,2128,2432,2736,3040,3344,3648,3952,4256,4560,4864,5168,

Multiples of 309 =309,618,927,1236,1545,1854,2163,2472,2781,3090,3399,3708,4017,4326,4635,4944,5253,

Now, get the least common multiple of 304, 309 which is 93936

So, the LCM of 304, 309 is 93936.

One method for determining the LCM of 304 and 309 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 304's prime factorization:

Prime factors of 304 are 2,19.

304 = 2⁴×19¹

And this is 309's prime factorization:

Prime factors of 309 are 3,103.

309 = 3¹×103¹

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: 2,19, 3,103

2⁴×3¹×19¹×103¹ = 93936

This shows that the LCM of 304 and 309 is 93936.

The first step in determining the Least Common Multiple of 304 and 309 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 304 and 309:

Lets look at the first ten multiples of these numbers, 304 and 309:

304,608,912,1216,1520,1824,2128,2432,2736,5168 are the first ten multiples of 304.

309,618,927,1236,1545,1854,2163,2472,2781,5253 are the first ten multiples of 309.

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 304 and 309, for example, are 3648, 5168, and 4944. 93936 is the least common multiple since it is the smallest.

304 and 309 have an LCM of 93936.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 304 and 309, than apply into the LCM equation.

GCF(304,309) = 1
LCM(304,309) = ( 304 × 309) / 1
LCM(304,309) = 93936 / 1
LCM(304,309) = 93936

1. What is the LCM of 304 and 309?

The LCM of 304 and 309 is 93936.

2. How to find the lowest common multiple of 304 and 309?

To find the lowest common multiple of 304 and 309, we have to get the multip;es of both numbers and identify the least common multiple in them which is 93936.

3. What are the Factors of 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

4. What are the Factors of 309?

Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.

Answer:

Least Common Multiple of 304 and 309 = 93936

Step 1: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 309

309 = 3 x 103

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

LCM = 93936 = 2 x 2 x 2 x 2 x 3 x 19 x 103

Step 4: Therefore, the least common multiple of 304 and 309 is 93936.