Given Numbers are 178, 184

We can find the LCM of 178, 184 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 178 and 184

Multiples of 178 =178,356,534,712,890,1068,1246,1424,1602,1780,1958,2136,2314,2492,2670,2848,3026,

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

Now, get the least common multiple of 178, 184 which is 16376

So, the LCM of 178, 184 is 16376.

One method for determining the LCM of 178 and 184 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 178's prime factorization:

Prime factors of 178 are 2,89.

178 = 2¹×89¹

And this is 184's prime factorization:

Prime factors of 184 are 2,23.

184 = 2³×23¹

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: 2,89,23

2³×23¹×89¹ = 16376

This shows that the LCM of 178 and 184 is 16376.

The first step in determining the Least Common Multiple of 178 and 184 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 178 and 184:

Lets look at the first ten multiples of these numbers, 178 and 184:

178,356,534,712,890,1068,1246,1424,1602,3026 are the first ten multiples of 178.

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

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 178 and 184, for example, are 2136, 3026, and 2944. 16376 is the least common multiple since it is the smallest.

178 and 184 have an LCM of 16376.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 178 and 184, than apply into the LCM equation.

GCF(178,184) = 2
LCM(178,184) = ( 178 × 184) / 2
LCM(178,184) = 32752 / 2
LCM(178,184) = 16376

1. What is the LCM of 178 and 184?

The LCM of 178 and 184 is 16376.

2. How to find the lowest common multiple of 178 and 184?

To find the lowest common multiple of 178 and 184, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16376.

3. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

4. 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.

Answer:

Least Common Multiple of 178 and 184 = 16376

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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

LCM = 16376 = 2 x 2 x 2 x 23 x 89

Step 4: Therefore, the least common multiple of 178 and 184 is 16376.