Given Numbers are 341, 347

We can find the LCM of 341, 347 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 341 and 347

Multiples of 341 =341,682,1023,1364,1705,2046,2387,2728,3069,3410,3751,4092,4433,4774,5115,5456,5797,

Multiples of 347 =347,694,1041,1388,1735,2082,2429,2776,3123,3470,3817,4164,4511,4858,5205,5552,5899,

Now, get the least common multiple of 341, 347 which is 118327

So, the LCM of 341, 347 is 118327.

One method for determining the LCM of 341 and 347 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 341's prime factorization:

Prime factors of 341 are 11,31.

341 = 11¹×31¹

And this is 347's prime factorization:

Prime factors of 347 are 347.

347 = 347¹

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: 11,31,347

11¹×31¹×347¹ = 118327

This shows that the LCM of 341 and 347 is 118327.

The first step in determining the Least Common Multiple of 341 and 347 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 341 and 347:

Lets look at the first ten multiples of these numbers, 341 and 347:

341,682,1023,1364,1705,2046,2387,2728,3069,5797 are the first ten multiples of 341.

347,694,1041,1388,1735,2082,2429,2776,3123,5899 are the first ten multiples of 347.

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 341 and 347, for example, are 4092, 5797, and 5552. 118327 is the least common multiple since it is the smallest.

341 and 347 have an LCM of 118327.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 347, than apply into the LCM equation.

GCF(341,347) = 1
LCM(341,347) = ( 341 × 347) / 1
LCM(341,347) = 118327 / 1
LCM(341,347) = 118327

1. What is the LCM of 341 and 347?

The LCM of 341 and 347 is 118327.

2. How to find the lowest common multiple of 341 and 347?

To find the lowest common multiple of 341 and 347, we have to get the multip;es of both numbers and identify the least common multiple in them which is 118327.

3. What are the Factors of 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

4. What are the Factors of 347?

Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.

Answer:

Least Common Multiple of 341 and 347 = 118327

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 347

347 = 347

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

LCM = 118327 = 11 x 31 x 347

Step 4: Therefore, the least common multiple of 341 and 347 is 118327.