Given Numbers are 381, 386

We can find the LCM of 381, 386 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 381 and 386

Multiples of 381 =381,762,1143,1524,1905,2286,2667,3048,3429,3810,4191,4572,4953,5334,5715,6096,6477,

Multiples of 386 =386,772,1158,1544,1930,2316,2702,3088,3474,3860,4246,4632,5018,5404,5790,6176,6562,

Now, get the least common multiple of 381, 386 which is 147066

So, the LCM of 381, 386 is 147066.

One method for determining the LCM of 381 and 386 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 381's prime factorization:

Prime factors of 381 are 3,127.

381 = 3¹×127¹

And this is 386's prime factorization:

Prime factors of 386 are 2,193.

386 = 2¹×193¹

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: 3,127, 2,193

2¹×3¹×127¹×193¹ = 147066

This shows that the LCM of 381 and 386 is 147066.

The first step in determining the Least Common Multiple of 381 and 386 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 381 and 386:

Lets look at the first ten multiples of these numbers, 381 and 386:

381,762,1143,1524,1905,2286,2667,3048,3429,6477 are the first ten multiples of 381.

386,772,1158,1544,1930,2316,2702,3088,3474,6562 are the first ten multiples of 386.

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 381 and 386, for example, are 4572, 6477, and 6176. 147066 is the least common multiple since it is the smallest.

381 and 386 have an LCM of 147066.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 381 and 386, than apply into the LCM equation.

GCF(381,386) = 1
LCM(381,386) = ( 381 × 386) / 1
LCM(381,386) = 147066 / 1
LCM(381,386) = 147066

1. What is the LCM of 381 and 386?

The LCM of 381 and 386 is 147066.

2. How to find the lowest common multiple of 381 and 386?

To find the lowest common multiple of 381 and 386, we have to get the multip;es of both numbers and identify the least common multiple in them which is 147066.

3. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

4. What are the Factors of 386?

Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.

Answer:

Least Common Multiple of 381 and 386 = 147066

Step 1: Find the prime factorization of 381

381 = 3 x 127

Step 2: Find the prime factorization of 386

386 = 2 x 193

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

LCM = 147066 = 2 x 3 x 127 x 193

Step 4: Therefore, the least common multiple of 381 and 386 is 147066.