Given Numbers are 249, 256

We can find the LCM of 249, 256 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 249 and 256

Multiples of 249 =249,498,747,996,1245,1494,1743,1992,2241,2490,2739,2988,3237,3486,3735,3984,4233,

Multiples of 256 =256,512,768,1024,1280,1536,1792,2048,2304,2560,2816,3072,3328,3584,3840,4096,4352,

Now, get the least common multiple of 249, 256 which is 63744

So, the LCM of 249, 256 is 63744.

One method for determining the LCM of 249 and 256 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 249's prime factorization:

Prime factors of 249 are 3,83.

249 = 3¹×83¹

And this is 256's prime factorization:

Prime factors of 256 are 2.

256 = 2⁸

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: 3,83,2

2⁸×3¹×83¹ = 63744

This shows that the LCM of 249 and 256 is 63744.

The first step in determining the Least Common Multiple of 249 and 256 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 249 and 256:

Lets look at the first ten multiples of these numbers, 249 and 256:

249,498,747,996,1245,1494,1743,1992,2241,4233 are the first ten multiples of 249.

256,512,768,1024,1280,1536,1792,2048,2304,4352 are the first ten multiples of 256.

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 249 and 256, for example, are 2988, 4233, and 4096. 63744 is the least common multiple since it is the smallest.

249 and 256 have an LCM of 63744.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 256, than apply into the LCM equation.

GCF(249,256) = 1
LCM(249,256) = ( 249 × 256) / 1
LCM(249,256) = 63744 / 1
LCM(249,256) = 63744

1. What is the LCM of 249 and 256?

The LCM of 249 and 256 is 63744.

2. How to find the lowest common multiple of 249 and 256?

To find the lowest common multiple of 249 and 256, we have to get the multip;es of both numbers and identify the least common multiple in them which is 63744.

3. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. What are the Factors of 256?

Answer: Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. There are 9 integers that are factors of 256. The greatest factor of 256 is 256.

Answer:

Least Common Multiple of 249 and 256 = 63744

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 256

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 63744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 83

Step 4: Therefore, the least common multiple of 249 and 256 is 63744.