Given Numbers are 365, 371

We can find the LCM of 365, 371 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 365 and 371

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

Multiples of 371 =371,742,1113,1484,1855,2226,2597,2968,3339,3710,4081,4452,4823,5194,5565,5936,6307,

Now, get the least common multiple of 365, 371 which is 135415

So, the LCM of 365, 371 is 135415.

One method for determining the LCM of 365 and 371 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 365's prime factorization:

Prime factors of 365 are 5,73.

365 = 5¹×73¹

And this is 371's prime factorization:

Prime factors of 371 are 7,53.

371 = 7¹×53¹

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: 5,73, 7,53

5¹×7¹×53¹×73¹ = 135415

This shows that the LCM of 365 and 371 is 135415.

The first step in determining the Least Common Multiple of 365 and 371 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 365 and 371:

Lets look at the first ten multiples of these numbers, 365 and 371:

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

371,742,1113,1484,1855,2226,2597,2968,3339,6307 are the first ten multiples of 371.

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 365 and 371, for example, are 4380, 6205, and 5936. 135415 is the least common multiple since it is the smallest.

365 and 371 have an LCM of 135415.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 371, than apply into the LCM equation.

GCF(365,371) = 1
LCM(365,371) = ( 365 × 371) / 1
LCM(365,371) = 135415 / 1
LCM(365,371) = 135415

1. What is the LCM of 365 and 371?

The LCM of 365 and 371 is 135415.

2. How to find the lowest common multiple of 365 and 371?

To find the lowest common multiple of 365 and 371, we have to get the multip;es of both numbers and identify the least common multiple in them which is 135415.

3. 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.

4. What are the Factors of 371?

Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.

Answer:

Least Common Multiple of 365 and 371 = 135415

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 371

371 = 7 x 53

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

LCM = 135415 = 5 x 7 x 53 x 73

Step 4: Therefore, the least common multiple of 365 and 371 is 135415.