Given Numbers are 385, 391

We can find the LCM of 385, 391 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 385 and 391

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

Multiples of 391 =391,782,1173,1564,1955,2346,2737,3128,3519,3910,4301,4692,5083,5474,5865,6256,6647,

Now, get the least common multiple of 385, 391 which is 150535

So, the LCM of 385, 391 is 150535.

One method for determining the LCM of 385 and 391 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 385's prime factorization:

Prime factors of 385 are 5, 7,11.

385 = 5¹×7¹×11¹

And this is 391's prime factorization:

Prime factors of 391 are 17,23.

391 = 17¹×23¹

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: 5, 7,11, 17,23

5¹×7¹×11¹×17¹×23¹ = 150535

This shows that the LCM of 385 and 391 is 150535.

The first step in determining the Least Common Multiple of 385 and 391 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 385 and 391:

Lets look at the first ten multiples of these numbers, 385 and 391:

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

391,782,1173,1564,1955,2346,2737,3128,3519,6647 are the first ten multiples of 391.

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 385 and 391, for example, are 4620, 6545, and 6256. 150535 is the least common multiple since it is the smallest.

385 and 391 have an LCM of 150535.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 391, than apply into the LCM equation.

GCF(385,391) = 1
LCM(385,391) = ( 385 × 391) / 1
LCM(385,391) = 150535 / 1
LCM(385,391) = 150535

1. What is the LCM of 385 and 391?

The LCM of 385 and 391 is 150535.

2. How to find the lowest common multiple of 385 and 391?

To find the lowest common multiple of 385 and 391, we have to get the multip;es of both numbers and identify the least common multiple in them which is 150535.

3. 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.

4. What are the Factors of 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

Answer:

Least Common Multiple of 385 and 391 = 150535

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

LCM = 150535 = 5 x 7 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 385 and 391 is 150535.