Given Numbers are 184, 192

We can find the LCM of 184, 192 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 184 and 192

Multiples of 184 =184,368,552,736,920,1104,1288,1472,1656,1840,2024,2208,2392,2576,2760,2944,3128,

Multiples of 192 =192,384,576,768,960,1152,1344,1536,1728,1920,2112,2304,2496,2688,2880,3072,3264,

Now, get the least common multiple of 184, 192 which is 4416

So, the LCM of 184, 192 is 4416.

One method for determining the LCM of 184 and 192 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 184's prime factorization:

Prime factors of 184 are 2,23.

184 = 2³×23¹

And this is 192's prime factorization:

Prime factors of 192 are 2,3.

192 = 2⁶×3¹

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: 2,23,3

2⁶×3¹×23¹ = 4416

This shows that the LCM of 184 and 192 is 4416.

The first step in determining the Least Common Multiple of 184 and 192 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 184 and 192:

Lets look at the first ten multiples of these numbers, 184 and 192:

184,368,552,736,920,1104,1288,1472,1656,3128 are the first ten multiples of 184.

192,384,576,768,960,1152,1344,1536,1728,3264 are the first ten multiples of 192.

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 184 and 192, for example, are 2208, 3128, and 3072. 4416 is the least common multiple since it is the smallest.

184 and 192 have an LCM of 4416.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 192, than apply into the LCM equation.

GCF(184,192) = 8
LCM(184,192) = ( 184 × 192) / 8
LCM(184,192) = 35328 / 8
LCM(184,192) = 4416

1. What is the LCM of 184 and 192?

The LCM of 184 and 192 is 4416.

2. How to find the lowest common multiple of 184 and 192?

To find the lowest common multiple of 184 and 192, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4416.

3. What are the Factors of 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

4. What are the Factors of 192?

Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.

Answer:

Least Common Multiple of 184 and 192 = 4416

Step 1: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 192

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 4416 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 4: Therefore, the least common multiple of 184 and 192 is 4416.