Given Numbers are 347, 353

We can find the LCM of 347, 353 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 347 and 353

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

Multiples of 353 =353,706,1059,1412,1765,2118,2471,2824,3177,3530,3883,4236,4589,4942,5295,5648,6001,

Now, get the least common multiple of 347, 353 which is 122491

So, the LCM of 347, 353 is 122491.

One method for determining the LCM of 347 and 353 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 347's prime factorization:

Prime factors of 347 are 347.

347 = 347¹

And this is 353's prime factorization:

Prime factors of 353 are 353.

353 = 353¹

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:347,353

347¹×353¹ = 122491

This shows that the LCM of 347 and 353 is 122491.

The first step in determining the Least Common Multiple of 347 and 353 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 347 and 353:

Lets look at the first ten multiples of these numbers, 347 and 353:

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

353,706,1059,1412,1765,2118,2471,2824,3177,6001 are the first ten multiples of 353.

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 347 and 353, for example, are 4164, 5899, and 5648. 122491 is the least common multiple since it is the smallest.

347 and 353 have an LCM of 122491.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 353, than apply into the LCM equation.

GCF(347,353) = 1
LCM(347,353) = ( 347 × 353) / 1
LCM(347,353) = 122491 / 1
LCM(347,353) = 122491

1. What is the LCM of 347 and 353?

The LCM of 347 and 353 is 122491.

2. How to find the lowest common multiple of 347 and 353?

To find the lowest common multiple of 347 and 353, we have to get the multip;es of both numbers and identify the least common multiple in them which is 122491.

3. 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.

4. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

Answer:

Least Common Multiple of 347 and 353 = 122491

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 353

353 = 353

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

LCM = 122491 = 347 x 353

Step 4: Therefore, the least common multiple of 347 and 353 is 122491.