Given Numbers are 352, 356

We can find the LCM of 352, 356 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 352 and 356

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

Multiples of 356 =356,712,1068,1424,1780,2136,2492,2848,3204,3560,3916,4272,4628,4984,5340,5696,6052,

Now, get the least common multiple of 352, 356 which is 31328

So, the LCM of 352, 356 is 31328.

One method for determining the LCM of 352 and 356 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 356's prime factorization:

Prime factors of 356 are 2,89.

356 = 2²×89¹

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: 2,11,89

2⁵×11¹×89¹ = 31328

This shows that the LCM of 352 and 356 is 31328.

The first step in determining the Least Common Multiple of 352 and 356 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 352 and 356:

Lets look at the first ten multiples of these numbers, 352 and 356:

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

356,712,1068,1424,1780,2136,2492,2848,3204,6052 are the first ten multiples of 356.

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 356, for example, are 4224, 5984, and 5696. 31328 is the least common multiple since it is the smallest.

352 and 356 have an LCM of 31328.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 356, than apply into the LCM equation.

GCF(352,356) = 4
LCM(352,356) = ( 352 × 356) / 4
LCM(352,356) = 125312 / 4
LCM(352,356) = 31328

1. What is the LCM of 352 and 356?

The LCM of 352 and 356 is 31328.

2. How to find the lowest common multiple of 352 and 356?

To find the lowest common multiple of 352 and 356, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31328.

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 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

Answer:

Least Common Multiple of 352 and 356 = 31328

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 356

356 = 2 x 2 x 89

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

LCM = 31328 = 2 x 2 x 2 x 2 x 2 x 11 x 89

Step 4: Therefore, the least common multiple of 352 and 356 is 31328.