Given Numbers are 304, 311

We can find the LCM of 304, 311 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 304 and 311

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

Multiples of 311 =311,622,933,1244,1555,1866,2177,2488,2799,3110,3421,3732,4043,4354,4665,4976,5287,

Now, get the least common multiple of 304, 311 which is 94544

So, the LCM of 304, 311 is 94544.

One method for determining the LCM of 304 and 311 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 311's prime factorization:

Prime factors of 311 are 311.

311 = 311¹

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: 2,19,311

2⁴×19¹×311¹ = 94544

This shows that the LCM of 304 and 311 is 94544.

The first step in determining the Least Common Multiple of 304 and 311 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 304 and 311:

Lets look at the first ten multiples of these numbers, 304 and 311:

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

311,622,933,1244,1555,1866,2177,2488,2799,5287 are the first ten multiples of 311.

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 311, for example, are 3648, 5168, and 4976. 94544 is the least common multiple since it is the smallest.

304 and 311 have an LCM of 94544.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 304 and 311, than apply into the LCM equation.

GCF(304,311) = 1
LCM(304,311) = ( 304 × 311) / 1
LCM(304,311) = 94544 / 1
LCM(304,311) = 94544

1. What is the LCM of 304 and 311?

The LCM of 304 and 311 is 94544.

2. How to find the lowest common multiple of 304 and 311?

To find the lowest common multiple of 304 and 311, we have to get the multip;es of both numbers and identify the least common multiple in them which is 94544.

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 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

Answer:

Least Common Multiple of 304 and 311 = 94544

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 311

311 = 311

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

LCM = 94544 = 2 x 2 x 2 x 2 x 19 x 311

Step 4: Therefore, the least common multiple of 304 and 311 is 94544.