Given Numbers are 274, 282

We can find the LCM of 274, 282 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 274 and 282

Multiples of 274 =274,548,822,1096,1370,1644,1918,2192,2466,2740,3014,3288,3562,3836,4110,4384,4658,

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

Now, get the least common multiple of 274, 282 which is 38634

So, the LCM of 274, 282 is 38634.

One method for determining the LCM of 274 and 282 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 274's prime factorization:

Prime factors of 274 are 2,137.

274 = 2¹×137¹

And this is 282's prime factorization:

Prime factors of 282 are 2, 3,47.

282 = 2¹×3¹×47¹

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: 2,137, 3,47

2¹×3¹×47¹×137¹ = 38634

This shows that the LCM of 274 and 282 is 38634.

The first step in determining the Least Common Multiple of 274 and 282 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 274 and 282:

Lets look at the first ten multiples of these numbers, 274 and 282:

274,548,822,1096,1370,1644,1918,2192,2466,4658 are the first ten multiples of 274.

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

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 274 and 282, for example, are 3288, 4658, and 4512. 38634 is the least common multiple since it is the smallest.

274 and 282 have an LCM of 38634.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 274 and 282, than apply into the LCM equation.

GCF(274,282) = 2
LCM(274,282) = ( 274 × 282) / 2
LCM(274,282) = 77268 / 2
LCM(274,282) = 38634

1. What is the LCM of 274 and 282?

The LCM of 274 and 282 is 38634.

2. How to find the lowest common multiple of 274 and 282?

To find the lowest common multiple of 274 and 282, we have to get the multip;es of both numbers and identify the least common multiple in them which is 38634.

3. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. 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.

Answer:

Least Common Multiple of 274 and 282 = 38634

Step 1: Find the prime factorization of 274

274 = 2 x 137

Step 2: Find the prime factorization of 282

282 = 2 x 3 x 47

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

LCM = 38634 = 2 x 3 x 47 x 137

Step 4: Therefore, the least common multiple of 274 and 282 is 38634.