Given Numbers are 347, 355

We can find the LCM of 347, 355 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 347 and 355

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

Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,

Now, get the least common multiple of 347, 355 which is 123185

So, the LCM of 347, 355 is 123185.

One method for determining the LCM of 347 and 355 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 355's prime factorization:

Prime factors of 355 are 5,71.

355 = 5¹×71¹

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, 5,71

5¹×71¹×347¹ = 123185

This shows that the LCM of 347 and 355 is 123185.

The first step in determining the Least Common Multiple of 347 and 355 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 347 and 355:

Lets look at the first ten multiples of these numbers, 347 and 355:

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

355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.

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 355, for example, are 4164, 5899, and 5680. 123185 is the least common multiple since it is the smallest.

347 and 355 have an LCM of 123185.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 355, than apply into the LCM equation.

GCF(347,355) = 1
LCM(347,355) = ( 347 × 355) / 1
LCM(347,355) = 123185 / 1
LCM(347,355) = 123185

1. What is the LCM of 347 and 355?

The LCM of 347 and 355 is 123185.

2. How to find the lowest common multiple of 347 and 355?

To find the lowest common multiple of 347 and 355, we have to get the multip;es of both numbers and identify the least common multiple in them which is 123185.

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 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

Answer:

Least Common Multiple of 347 and 355 = 123185

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 355

355 = 5 x 71

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

LCM = 123185 = 5 x 71 x 347

Step 4: Therefore, the least common multiple of 347 and 355 is 123185.