Given Numbers are 380, 385

We can find the LCM of 380, 385 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 380 and 385

Multiples of 380 =380,760,1140,1520,1900,2280,2660,3040,3420,3800,4180,4560,4940,5320,5700,6080,6460,

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 380, 385 which is 29260

So, the LCM of 380, 385 is 29260.

One method for determining the LCM of 380 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 380's prime factorization:

Prime factors of 380 are 2, 5,19.

380 = 2²×5¹×19¹

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: 2, 5,19, 7,11

2²×5¹×7¹×11¹×19¹ = 29260

This shows that the LCM of 380 and 385 is 29260.

The first step in determining the Least Common Multiple of 380 and 385 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 380 and 385:

Lets look at the first ten multiples of these numbers, 380 and 385:

380,760,1140,1520,1900,2280,2660,3040,3420,6460 are the first ten multiples of 380.

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 380 and 385, for example, are 4560, 6460, and 6160. 29260 is the least common multiple since it is the smallest.

380 and 385 have an LCM of 29260.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 385, than apply into the LCM equation.

GCF(380,385) = 5
LCM(380,385) = ( 380 × 385) / 5
LCM(380,385) = 146300 / 5
LCM(380,385) = 29260

1. What is the LCM of 380 and 385?

The LCM of 380 and 385 is 29260.

2. How to find the lowest common multiple of 380 and 385?

To find the lowest common multiple of 380 and 385, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29260.

3. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

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 380 and 385 = 29260

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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 = 29260 = 2 x 2 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 380 and 385 is 29260.