Given Numbers are 251, 256

We can find the LCM of 251, 256 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 251 and 256

Multiples of 251 =251,502,753,1004,1255,1506,1757,2008,2259,2510,2761,3012,3263,3514,3765,4016,4267,

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 251, 256 which is 64256

So, the LCM of 251, 256 is 64256.

One method for determining the LCM of 251 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 251's prime factorization:

Prime factors of 251 are 251.

251 = 251¹

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:251,2

2⁸×251¹ = 64256

This shows that the LCM of 251 and 256 is 64256.

The first step in determining the Least Common Multiple of 251 and 256 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 251 and 256:

Lets look at the first ten multiples of these numbers, 251 and 256:

251,502,753,1004,1255,1506,1757,2008,2259,4267 are the first ten multiples of 251.

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 251 and 256, for example, are 3012, 4267, and 4096. 64256 is the least common multiple since it is the smallest.

251 and 256 have an LCM of 64256.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 256, than apply into the LCM equation.

GCF(251,256) = 1
LCM(251,256) = ( 251 × 256) / 1
LCM(251,256) = 64256 / 1
LCM(251,256) = 64256

1. What is the LCM of 251 and 256?

The LCM of 251 and 256 is 64256.

2. How to find the lowest common multiple of 251 and 256?

To find the lowest common multiple of 251 and 256, we have to get the multip;es of both numbers and identify the least common multiple in them which is 64256.

3. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

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 251 and 256 = 64256

Step 1: Find the prime factorization of 251

251 = 251

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 = 64256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 251

Step 4: Therefore, the least common multiple of 251 and 256 is 64256.