Given Numbers are 364, 369

We can find the LCM of 364, 369 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 364 and 369

Multiples of 364 =364,728,1092,1456,1820,2184,2548,2912,3276,3640,4004,4368,4732,5096,5460,5824,6188,

Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,

Now, get the least common multiple of 364, 369 which is 134316

So, the LCM of 364, 369 is 134316.

One method for determining the LCM of 364 and 369 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 364's prime factorization:

Prime factors of 364 are 2, 7,13.

364 = 2²×7¹×13¹

And this is 369's prime factorization:

Prime factors of 369 are 3,41.

369 = 3²×41¹

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, 7,13, 3,41

2²×3²×7¹×13¹×41¹ = 134316

This shows that the LCM of 364 and 369 is 134316.

The first step in determining the Least Common Multiple of 364 and 369 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 364 and 369:

Lets look at the first ten multiples of these numbers, 364 and 369:

364,728,1092,1456,1820,2184,2548,2912,3276,6188 are the first ten multiples of 364.

369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.

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 364 and 369, for example, are 4368, 6188, and 5904. 134316 is the least common multiple since it is the smallest.

364 and 369 have an LCM of 134316.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 364 and 369, than apply into the LCM equation.

GCF(364,369) = 1
LCM(364,369) = ( 364 × 369) / 1
LCM(364,369) = 134316 / 1
LCM(364,369) = 134316

1. What is the LCM of 364 and 369?

The LCM of 364 and 369 is 134316.

2. How to find the lowest common multiple of 364 and 369?

To find the lowest common multiple of 364 and 369, we have to get the multip;es of both numbers and identify the least common multiple in them which is 134316.

3. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

4. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

Answer:

Least Common Multiple of 364 and 369 = 134316

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 369

369 = 3 x 3 x 41

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

LCM = 134316 = 2 x 2 x 3 x 3 x 7 x 13 x 41

Step 4: Therefore, the least common multiple of 364 and 369 is 134316.