Given Numbers are 367, 371

We can find the LCM of 367, 371 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 367 and 371

Multiples of 367 =367,734,1101,1468,1835,2202,2569,2936,3303,3670,4037,4404,4771,5138,5505,5872,6239,

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 367, 371 which is 136157

So, the LCM of 367, 371 is 136157.

One method for determining the LCM of 367 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 367's prime factorization:

Prime factors of 367 are 367.

367 = 367¹

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:367, 7,53

7¹×53¹×367¹ = 136157

This shows that the LCM of 367 and 371 is 136157.

The first step in determining the Least Common Multiple of 367 and 371 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 367 and 371:

Lets look at the first ten multiples of these numbers, 367 and 371:

367,734,1101,1468,1835,2202,2569,2936,3303,6239 are the first ten multiples of 367.

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 367 and 371, for example, are 4404, 6239, and 5936. 136157 is the least common multiple since it is the smallest.

367 and 371 have an LCM of 136157.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 367 and 371, than apply into the LCM equation.

GCF(367,371) = 1
LCM(367,371) = ( 367 × 371) / 1
LCM(367,371) = 136157 / 1
LCM(367,371) = 136157

1. What is the LCM of 367 and 371?

The LCM of 367 and 371 is 136157.

2. How to find the lowest common multiple of 367 and 371?

To find the lowest common multiple of 367 and 371, we have to get the multip;es of both numbers and identify the least common multiple in them which is 136157.

3. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

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 367 and 371 = 136157

Step 1: Find the prime factorization of 367

367 = 367

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 = 136157 = 7 x 53 x 367

Step 4: Therefore, the least common multiple of 367 and 371 is 136157.