Given Numbers are 362, 368

We can find the LCM of 362, 368 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 362 and 368

Multiples of 362 =362,724,1086,1448,1810,2172,2534,2896,3258,3620,3982,4344,4706,5068,5430,5792,6154,

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 362, 368 which is 66608

So, the LCM of 362, 368 is 66608.

One method for determining the LCM of 362 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 362's prime factorization:

Prime factors of 362 are 2,181.

362 = 2¹×181¹

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: 2,181,23

2⁴×23¹×181¹ = 66608

This shows that the LCM of 362 and 368 is 66608.

The first step in determining the Least Common Multiple of 362 and 368 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 362 and 368:

Lets look at the first ten multiples of these numbers, 362 and 368:

362,724,1086,1448,1810,2172,2534,2896,3258,6154 are the first ten multiples of 362.

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 362 and 368, for example, are 4344, 6154, and 5888. 66608 is the least common multiple since it is the smallest.

362 and 368 have an LCM of 66608.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 368, than apply into the LCM equation.

GCF(362,368) = 2
LCM(362,368) = ( 362 × 368) / 2
LCM(362,368) = 133216 / 2
LCM(362,368) = 66608

1. What is the LCM of 362 and 368?

The LCM of 362 and 368 is 66608.

2. How to find the lowest common multiple of 362 and 368?

To find the lowest common multiple of 362 and 368, we have to get the multip;es of both numbers and identify the least common multiple in them which is 66608.

3. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

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 362 and 368 = 66608

Step 1: Find the prime factorization of 362

362 = 2 x 181

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 = 66608 = 2 x 2 x 2 x 2 x 23 x 181

Step 4: Therefore, the least common multiple of 362 and 368 is 66608.