Given Numbers are 366, 371

We can find the LCM of 366, 371 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 366 and 371

Multiples of 366 =366,732,1098,1464,1830,2196,2562,2928,3294,3660,4026,4392,4758,5124,5490,5856,6222,

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 366, 371 which is 135786

So, the LCM of 366, 371 is 135786.

One method for determining the LCM of 366 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 366's prime factorization:

Prime factors of 366 are 2, 3,61.

366 = 2¹×3¹×61¹

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: 2, 3,61, 7,53

2¹×3¹×7¹×53¹×61¹ = 135786

This shows that the LCM of 366 and 371 is 135786.

The first step in determining the Least Common Multiple of 366 and 371 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 366 and 371:

Lets look at the first ten multiples of these numbers, 366 and 371:

366,732,1098,1464,1830,2196,2562,2928,3294,6222 are the first ten multiples of 366.

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 366 and 371, for example, are 4392, 6222, and 5936. 135786 is the least common multiple since it is the smallest.

366 and 371 have an LCM of 135786.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 366 and 371, than apply into the LCM equation.

GCF(366,371) = 1
LCM(366,371) = ( 366 × 371) / 1
LCM(366,371) = 135786 / 1
LCM(366,371) = 135786

1. What is the LCM of 366 and 371?

The LCM of 366 and 371 is 135786.

2. How to find the lowest common multiple of 366 and 371?

To find the lowest common multiple of 366 and 371, we have to get the multip;es of both numbers and identify the least common multiple in them which is 135786.

3. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

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 366 and 371 = 135786

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

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 = 135786 = 2 x 3 x 7 x 53 x 61

Step 4: Therefore, the least common multiple of 366 and 371 is 135786.