Given Numbers are 381, 385

We can find the LCM of 381, 385 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 381 and 385

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

Multiples of 385 =385,770,1155,1540,1925,2310,2695,3080,3465,3850,4235,4620,5005,5390,5775,6160,6545,

Now, get the least common multiple of 381, 385 which is 146685

So, the LCM of 381, 385 is 146685.

One method for determining the LCM of 381 and 385 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 385's prime factorization:

Prime factors of 385 are 5, 7,11.

385 = 5¹×7¹×11¹

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, 5, 7,11

3¹×5¹×7¹×11¹×127¹ = 146685

This shows that the LCM of 381 and 385 is 146685.

The first step in determining the Least Common Multiple of 381 and 385 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 381 and 385:

Lets look at the first ten multiples of these numbers, 381 and 385:

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

385,770,1155,1540,1925,2310,2695,3080,3465,6545 are the first ten multiples of 385.

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 385, for example, are 4572, 6477, and 6160. 146685 is the least common multiple since it is the smallest.

381 and 385 have an LCM of 146685.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 381 and 385, than apply into the LCM equation.

GCF(381,385) = 1
LCM(381,385) = ( 381 × 385) / 1
LCM(381,385) = 146685 / 1
LCM(381,385) = 146685

1. What is the LCM of 381 and 385?

The LCM of 381 and 385 is 146685.

2. How to find the lowest common multiple of 381 and 385?

To find the lowest common multiple of 381 and 385, we have to get the multip;es of both numbers and identify the least common multiple in them which is 146685.

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 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

Answer:

Least Common Multiple of 381 and 385 = 146685

Step 1: Find the prime factorization of 381

381 = 3 x 127

Step 2: Find the prime factorization of 385

385 = 5 x 7 x 11

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

LCM = 146685 = 3 x 5 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 381 and 385 is 146685.