Given Numbers are 352, 359

We can find the LCM of 352, 359 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 352 and 359

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

Multiples of 359 =359,718,1077,1436,1795,2154,2513,2872,3231,3590,3949,4308,4667,5026,5385,5744,6103,

Now, get the least common multiple of 352, 359 which is 126368

So, the LCM of 352, 359 is 126368.

One method for determining the LCM of 352 and 359 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 359's prime factorization:

Prime factors of 359 are 359.

359 = 359¹

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: 2,11,359

2⁵×11¹×359¹ = 126368

This shows that the LCM of 352 and 359 is 126368.

The first step in determining the Least Common Multiple of 352 and 359 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 352 and 359:

Lets look at the first ten multiples of these numbers, 352 and 359:

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

359,718,1077,1436,1795,2154,2513,2872,3231,6103 are the first ten multiples of 359.

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 359, for example, are 4224, 5984, and 5744. 126368 is the least common multiple since it is the smallest.

352 and 359 have an LCM of 126368.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 359, than apply into the LCM equation.

GCF(352,359) = 1
LCM(352,359) = ( 352 × 359) / 1
LCM(352,359) = 126368 / 1
LCM(352,359) = 126368

1. What is the LCM of 352 and 359?

The LCM of 352 and 359 is 126368.

2. How to find the lowest common multiple of 352 and 359?

To find the lowest common multiple of 352 and 359, we have to get the multip;es of both numbers and identify the least common multiple in them which is 126368.

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 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

Answer:

Least Common Multiple of 352 and 359 = 126368

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 359

359 = 359

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

LCM = 126368 = 2 x 2 x 2 x 2 x 2 x 11 x 359

Step 4: Therefore, the least common multiple of 352 and 359 is 126368.