Given Numbers are 361, 365

We can find the LCM of 361, 365 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 361 and 365

Multiples of 361 =361,722,1083,1444,1805,2166,2527,2888,3249,3610,3971,4332,4693,5054,5415,5776,6137,

Multiples of 365 =365,730,1095,1460,1825,2190,2555,2920,3285,3650,4015,4380,4745,5110,5475,5840,6205,

Now, get the least common multiple of 361, 365 which is 131765

So, the LCM of 361, 365 is 131765.

One method for determining the LCM of 361 and 365 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 361's prime factorization:

Prime factors of 361 are 19.

361 = 19²

And this is 365's prime factorization:

Prime factors of 365 are 5,73.

365 = 5¹×73¹

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:19, 5,73

5¹×19²×73¹ = 131765

This shows that the LCM of 361 and 365 is 131765.

The first step in determining the Least Common Multiple of 361 and 365 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 361 and 365:

Lets look at the first ten multiples of these numbers, 361 and 365:

361,722,1083,1444,1805,2166,2527,2888,3249,6137 are the first ten multiples of 361.

365,730,1095,1460,1825,2190,2555,2920,3285,6205 are the first ten multiples of 365.

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 361 and 365, for example, are 4332, 6137, and 5840. 131765 is the least common multiple since it is the smallest.

361 and 365 have an LCM of 131765.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 361 and 365, than apply into the LCM equation.

GCF(361,365) = 1
LCM(361,365) = ( 361 × 365) / 1
LCM(361,365) = 131765 / 1
LCM(361,365) = 131765

1. What is the LCM of 361 and 365?

The LCM of 361 and 365 is 131765.

2. How to find the lowest common multiple of 361 and 365?

To find the lowest common multiple of 361 and 365, we have to get the multip;es of both numbers and identify the least common multiple in them which is 131765.

3. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

4. What are the Factors of 365?

Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.

Answer:

Least Common Multiple of 361 and 365 = 131765

Step 1: Find the prime factorization of 361

361 = 19 x 19

Step 2: Find the prime factorization of 365

365 = 5 x 73

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

LCM = 131765 = 5 x 19 x 19 x 73

Step 4: Therefore, the least common multiple of 361 and 365 is 131765.