Given Numbers are 337, 341

We can find the LCM of 337, 341 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 337 and 341

Multiples of 337 =337,674,1011,1348,1685,2022,2359,2696,3033,3370,3707,4044,4381,4718,5055,5392,5729,

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

Now, get the least common multiple of 337, 341 which is 114917

So, the LCM of 337, 341 is 114917.

One method for determining the LCM of 337 and 341 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 337's prime factorization:

Prime factors of 337 are 337.

337 = 337¹

And this is 341's prime factorization:

Prime factors of 341 are 11,31.

341 = 11¹×31¹

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:337, 11,31

11¹×31¹×337¹ = 114917

This shows that the LCM of 337 and 341 is 114917.

The first step in determining the Least Common Multiple of 337 and 341 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 337 and 341:

Lets look at the first ten multiples of these numbers, 337 and 341:

337,674,1011,1348,1685,2022,2359,2696,3033,5729 are the first ten multiples of 337.

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

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 337 and 341, for example, are 4044, 5729, and 5456. 114917 is the least common multiple since it is the smallest.

337 and 341 have an LCM of 114917.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 337 and 341, than apply into the LCM equation.

GCF(337,341) = 1
LCM(337,341) = ( 337 × 341) / 1
LCM(337,341) = 114917 / 1
LCM(337,341) = 114917

1. What is the LCM of 337 and 341?

The LCM of 337 and 341 is 114917.

2. How to find the lowest common multiple of 337 and 341?

To find the lowest common multiple of 337 and 341, we have to get the multip;es of both numbers and identify the least common multiple in them which is 114917.

3. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

4. 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.

Answer:

Least Common Multiple of 337 and 341 = 114917

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 341

341 = 11 x 31

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

LCM = 114917 = 11 x 31 x 337

Step 4: Therefore, the least common multiple of 337 and 341 is 114917.