Given Numbers are 282, 287

We can find the LCM of 282, 287 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 282 and 287

Multiples of 282 =282,564,846,1128,1410,1692,1974,2256,2538,2820,3102,3384,3666,3948,4230,4512,4794,

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 282, 287 which is 80934

So, the LCM of 282, 287 is 80934.

One method for determining the LCM of 282 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 282's prime factorization:

Prime factors of 282 are 2, 3,47.

282 = 2¹×3¹×47¹

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: 2, 3,47, 7,41

2¹×3¹×7¹×41¹×47¹ = 80934

This shows that the LCM of 282 and 287 is 80934.

The first step in determining the Least Common Multiple of 282 and 287 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 282 and 287:

Lets look at the first ten multiples of these numbers, 282 and 287:

282,564,846,1128,1410,1692,1974,2256,2538,4794 are the first ten multiples of 282.

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 282 and 287, for example, are 3384, 4794, and 4592. 80934 is the least common multiple since it is the smallest.

282 and 287 have an LCM of 80934.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 282 and 287, than apply into the LCM equation.

GCF(282,287) = 1
LCM(282,287) = ( 282 × 287) / 1
LCM(282,287) = 80934 / 1
LCM(282,287) = 80934

1. What is the LCM of 282 and 287?

The LCM of 282 and 287 is 80934.

2. How to find the lowest common multiple of 282 and 287?

To find the lowest common multiple of 282 and 287, we have to get the multip;es of both numbers and identify the least common multiple in them which is 80934.

3. What are the Factors of 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

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 282 and 287 = 80934

Step 1: Find the prime factorization of 282

282 = 2 x 3 x 47

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 = 80934 = 2 x 3 x 7 x 41 x 47

Step 4: Therefore, the least common multiple of 282 and 287 is 80934.