Given Numbers are 283, 287

We can find the LCM of 283, 287 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 283 and 287

Multiples of 283 =283,566,849,1132,1415,1698,1981,2264,2547,2830,3113,3396,3679,3962,4245,4528,4811,

Multiples of 287 =287,574,861,1148,1435,1722,2009,2296,2583,2870,3157,3444,3731,4018,4305,4592,4879,

Now, get the least common multiple of 283, 287 which is 81221

So, the LCM of 283, 287 is 81221.

One method for determining the LCM of 283 and 287 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 283's prime factorization:

Prime factors of 283 are 283.

283 = 283¹

And this is 287's prime factorization:

Prime factors of 287 are 7,41.

287 = 7¹×41¹

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:283, 7,41

7¹×41¹×283¹ = 81221

This shows that the LCM of 283 and 287 is 81221.

The first step in determining the Least Common Multiple of 283 and 287 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 283 and 287:

Lets look at the first ten multiples of these numbers, 283 and 287:

283,566,849,1132,1415,1698,1981,2264,2547,4811 are the first ten multiples of 283.

287,574,861,1148,1435,1722,2009,2296,2583,4879 are the first ten multiples of 287.

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 283 and 287, for example, are 3396, 4811, and 4592. 81221 is the least common multiple since it is the smallest.

283 and 287 have an LCM of 81221.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 283 and 287, than apply into the LCM equation.

GCF(283,287) = 1
LCM(283,287) = ( 283 × 287) / 1
LCM(283,287) = 81221 / 1
LCM(283,287) = 81221

1. What is the LCM of 283 and 287?

The LCM of 283 and 287 is 81221.

2. How to find the lowest common multiple of 283 and 287?

To find the lowest common multiple of 283 and 287, we have to get the multip;es of both numbers and identify the least common multiple in them which is 81221.

3. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

4. What are the Factors of 287?

Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.

Answer:

Least Common Multiple of 283 and 287 = 81221

Step 1: Find the prime factorization of 283

283 = 283

Step 2: Find the prime factorization of 287

287 = 7 x 41

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

LCM = 81221 = 7 x 41 x 283

Step 4: Therefore, the least common multiple of 283 and 287 is 81221.