Given Numbers are 380, 386

We can find the LCM of 380, 386 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 380 and 386

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

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 380, 386 which is 73340

So, the LCM of 380, 386 is 73340.

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

Prime factors of 380 are 2, 5,19.

380 = 2²×5¹×19¹

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: 2, 5,19,193

2²×5¹×19¹×193¹ = 73340

This shows that the LCM of 380 and 386 is 73340.

The first step in determining the Least Common Multiple of 380 and 386 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 380 and 386:

Lets look at the first ten multiples of these numbers, 380 and 386:

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

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 380 and 386, for example, are 4560, 6460, and 6176. 73340 is the least common multiple since it is the smallest.

380 and 386 have an LCM of 73340.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 386, than apply into the LCM equation.

GCF(380,386) = 2
LCM(380,386) = ( 380 × 386) / 2
LCM(380,386) = 146680 / 2
LCM(380,386) = 73340

1. What is the LCM of 380 and 386?

The LCM of 380 and 386 is 73340.

2. How to find the lowest common multiple of 380 and 386?

To find the lowest common multiple of 380 and 386, we have to get the multip;es of both numbers and identify the least common multiple in them which is 73340.

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 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 380 and 386 = 73340

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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 = 73340 = 2 x 2 x 5 x 19 x 193

Step 4: Therefore, the least common multiple of 380 and 386 is 73340.