Given Numbers are 352, 360

We can find the LCM of 352, 360 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 352 and 360

Multiples of 352 =352,704,1056,1408,1760,2112,2464,2816,3168,3520,3872,4224,4576,4928,5280,5632,5984,

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

Now, get the least common multiple of 352, 360 which is 15840

So, the LCM of 352, 360 is 15840.

One method for determining the LCM of 352 and 360 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 352's prime factorization:

Prime factors of 352 are 2,11.

352 = 2⁵×11¹

And this is 360's prime factorization:

Prime factors of 360 are 2, 3,5.

360 = 2³×3²×5¹

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: 2,11, 3,5

2⁵×3²×5¹×11¹ = 15840

This shows that the LCM of 352 and 360 is 15840.

The first step in determining the Least Common Multiple of 352 and 360 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 352 and 360:

Lets look at the first ten multiples of these numbers, 352 and 360:

352,704,1056,1408,1760,2112,2464,2816,3168,5984 are the first ten multiples of 352.

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

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 352 and 360, for example, are 4224, 5984, and 5760. 15840 is the least common multiple since it is the smallest.

352 and 360 have an LCM of 15840.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 360, than apply into the LCM equation.

GCF(352,360) = 8
LCM(352,360) = ( 352 × 360) / 8
LCM(352,360) = 126720 / 8
LCM(352,360) = 15840

1. What is the LCM of 352 and 360?

The LCM of 352 and 360 is 15840.

2. How to find the lowest common multiple of 352 and 360?

To find the lowest common multiple of 352 and 360, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15840.

3. What are the Factors of 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

4. 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.

Answer:

Least Common Multiple of 352 and 360 = 15840

Step 1: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 360

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

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

LCM = 15840 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 352 and 360 is 15840.