Given Numbers are 346, 353

We can find the LCM of 346, 353 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 346 and 353

Multiples of 346 =346,692,1038,1384,1730,2076,2422,2768,3114,3460,3806,4152,4498,4844,5190,5536,5882,

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 346, 353 which is 122138

So, the LCM of 346, 353 is 122138.

One method for determining the LCM of 346 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 346's prime factorization:

Prime factors of 346 are 2,173.

346 = 2¹×173¹

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: 2,173,353

2¹×173¹×353¹ = 122138

This shows that the LCM of 346 and 353 is 122138.

The first step in determining the Least Common Multiple of 346 and 353 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 346 and 353:

Lets look at the first ten multiples of these numbers, 346 and 353:

346,692,1038,1384,1730,2076,2422,2768,3114,5882 are the first ten multiples of 346.

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 346 and 353, for example, are 4152, 5882, and 5648. 122138 is the least common multiple since it is the smallest.

346 and 353 have an LCM of 122138.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 346 and 353, than apply into the LCM equation.

GCF(346,353) = 1
LCM(346,353) = ( 346 × 353) / 1
LCM(346,353) = 122138 / 1
LCM(346,353) = 122138

1. What is the LCM of 346 and 353?

The LCM of 346 and 353 is 122138.

2. How to find the lowest common multiple of 346 and 353?

To find the lowest common multiple of 346 and 353, we have to get the multip;es of both numbers and identify the least common multiple in them which is 122138.

3. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

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 346 and 353 = 122138

Step 1: Find the prime factorization of 346

346 = 2 x 173

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 = 122138 = 2 x 173 x 353

Step 4: Therefore, the least common multiple of 346 and 353 is 122138.