Given Numbers are 368, 376

We can find the LCM of 368, 376 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 368 and 376

Multiples of 368 =368,736,1104,1472,1840,2208,2576,2944,3312,3680,4048,4416,4784,5152,5520,5888,6256,

Multiples of 376 =376,752,1128,1504,1880,2256,2632,3008,3384,3760,4136,4512,4888,5264,5640,6016,6392,

Now, get the least common multiple of 368, 376 which is 17296

So, the LCM of 368, 376 is 17296.

One method for determining the LCM of 368 and 376 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 368's prime factorization:

Prime factors of 368 are 2,23.

368 = 2⁴×23¹

And this is 376's prime factorization:

Prime factors of 376 are 2,47.

376 = 2³×47¹

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: 2,23,47

2⁴×23¹×47¹ = 17296

This shows that the LCM of 368 and 376 is 17296.

The first step in determining the Least Common Multiple of 368 and 376 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 368 and 376:

Lets look at the first ten multiples of these numbers, 368 and 376:

368,736,1104,1472,1840,2208,2576,2944,3312,6256 are the first ten multiples of 368.

376,752,1128,1504,1880,2256,2632,3008,3384,6392 are the first ten multiples of 376.

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 368 and 376, for example, are 4416, 6256, and 6016. 17296 is the least common multiple since it is the smallest.

368 and 376 have an LCM of 17296.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 368 and 376, than apply into the LCM equation.

GCF(368,376) = 8
LCM(368,376) = ( 368 × 376) / 8
LCM(368,376) = 138368 / 8
LCM(368,376) = 17296

1. What is the LCM of 368 and 376?

The LCM of 368 and 376 is 17296.

2. How to find the lowest common multiple of 368 and 376?

To find the lowest common multiple of 368 and 376, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17296.

3. What are the Factors of 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

Answer:

Least Common Multiple of 368 and 376 = 17296

Step 1: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 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 = 17296 = 2 x 2 x 2 x 2 x 23 x 47

Step 4: Therefore, the least common multiple of 368 and 376 is 17296.