Given Numbers are 276, 284

We can find the LCM of 276, 284 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 276 and 284

Multiples of 276 =276,552,828,1104,1380,1656,1932,2208,2484,2760,3036,3312,3588,3864,4140,4416,4692,

Multiples of 284 =284,568,852,1136,1420,1704,1988,2272,2556,2840,3124,3408,3692,3976,4260,4544,4828,

Now, get the least common multiple of 276, 284 which is 19596

So, the LCM of 276, 284 is 19596.

One method for determining the LCM of 276 and 284 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 276's prime factorization:

Prime factors of 276 are 2, 3,23.

276 = 2²×3¹×23¹

And this is 284's prime factorization:

Prime factors of 284 are 2,71.

284 = 2²×71¹

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, 3,23,71

2²×3¹×23¹×71¹ = 19596

This shows that the LCM of 276 and 284 is 19596.

The first step in determining the Least Common Multiple of 276 and 284 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 276 and 284:

Lets look at the first ten multiples of these numbers, 276 and 284:

276,552,828,1104,1380,1656,1932,2208,2484,4692 are the first ten multiples of 276.

284,568,852,1136,1420,1704,1988,2272,2556,4828 are the first ten multiples of 284.

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 276 and 284, for example, are 3312, 4692, and 4544. 19596 is the least common multiple since it is the smallest.

276 and 284 have an LCM of 19596.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 276 and 284, than apply into the LCM equation.

GCF(276,284) = 4
LCM(276,284) = ( 276 × 284) / 4
LCM(276,284) = 78384 / 4
LCM(276,284) = 19596

1. What is the LCM of 276 and 284?

The LCM of 276 and 284 is 19596.

2. How to find the lowest common multiple of 276 and 284?

To find the lowest common multiple of 276 and 284, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19596.

3. What are the Factors of 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

4. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

Answer:

Least Common Multiple of 276 and 284 = 19596

Step 1: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 284

284 = 2 x 2 x 71

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

LCM = 19596 = 2 x 2 x 3 x 23 x 71

Step 4: Therefore, the least common multiple of 276 and 284 is 19596.