Given Numbers are 249, 257

We can find the LCM of 249, 257 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 249 and 257

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

Multiples of 257 =257,514,771,1028,1285,1542,1799,2056,2313,2570,2827,3084,3341,3598,3855,4112,4369,

Now, get the least common multiple of 249, 257 which is 63993

So, the LCM of 249, 257 is 63993.

One method for determining the LCM of 249 and 257 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 257's prime factorization:

Prime factors of 257 are 257.

257 = 257¹

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: 3,83,257

3¹×83¹×257¹ = 63993

This shows that the LCM of 249 and 257 is 63993.

The first step in determining the Least Common Multiple of 249 and 257 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 249 and 257:

Lets look at the first ten multiples of these numbers, 249 and 257:

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

257,514,771,1028,1285,1542,1799,2056,2313,4369 are the first ten multiples of 257.

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 257, for example, are 2988, 4233, and 4112. 63993 is the least common multiple since it is the smallest.

249 and 257 have an LCM of 63993.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 257, than apply into the LCM equation.

GCF(249,257) = 1
LCM(249,257) = ( 249 × 257) / 1
LCM(249,257) = 63993 / 1
LCM(249,257) = 63993

1. What is the LCM of 249 and 257?

The LCM of 249 and 257 is 63993.

2. How to find the lowest common multiple of 249 and 257?

To find the lowest common multiple of 249 and 257, we have to get the multip;es of both numbers and identify the least common multiple in them which is 63993.

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 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

Answer:

Least Common Multiple of 249 and 257 = 63993

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 257

257 = 257

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

LCM = 63993 = 3 x 83 x 257

Step 4: Therefore, the least common multiple of 249 and 257 is 63993.