Given Numbers are 360, 368

We can find the LCM of 360, 368 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 360 and 368

Multiples of 360 =360,720,1080,1440,1800,2160,2520,2880,3240,3600,3960,4320,4680,5040,5400,5760,6120,

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

Now, get the least common multiple of 360, 368 which is 16560

So, the LCM of 360, 368 is 16560.

One method for determining the LCM of 360 and 368 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 360's prime factorization:

Prime factors of 360 are 2, 3,5.

360 = 2³×3²×5¹

And this is 368's prime factorization:

Prime factors of 368 are 2,23.

368 = 2⁴×23¹

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, 3,5,23

2⁴×3²×5¹×23¹ = 16560

This shows that the LCM of 360 and 368 is 16560.

The first step in determining the Least Common Multiple of 360 and 368 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 360 and 368:

Lets look at the first ten multiples of these numbers, 360 and 368:

360,720,1080,1440,1800,2160,2520,2880,3240,6120 are the first ten multiples of 360.

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

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 360 and 368, for example, are 4320, 6120, and 5888. 16560 is the least common multiple since it is the smallest.

360 and 368 have an LCM of 16560.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 360 and 368, than apply into the LCM equation.

GCF(360,368) = 8
LCM(360,368) = ( 360 × 368) / 8
LCM(360,368) = 132480 / 8
LCM(360,368) = 16560

1. What is the LCM of 360 and 368?

The LCM of 360 and 368 is 16560.

2. How to find the lowest common multiple of 360 and 368?

To find the lowest common multiple of 360 and 368, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16560.

3. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

4. 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.

Answer:

Least Common Multiple of 360 and 368 = 16560

Step 1: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 368

368 = 2 x 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 = 16560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23

Step 4: Therefore, the least common multiple of 360 and 368 is 16560.