Given Numbers are 353, 361

We can find the LCM of 353, 361 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 353 and 361

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

Multiples of 361 =361,722,1083,1444,1805,2166,2527,2888,3249,3610,3971,4332,4693,5054,5415,5776,6137,

Now, get the least common multiple of 353, 361 which is 127433

So, the LCM of 353, 361 is 127433.

One method for determining the LCM of 353 and 361 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 353's prime factorization:

Prime factors of 353 are 353.

353 = 353¹

And this is 361's prime factorization:

Prime factors of 361 are 19.

361 = 19²

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:353,19

19²×353¹ = 127433

This shows that the LCM of 353 and 361 is 127433.

The first step in determining the Least Common Multiple of 353 and 361 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 353 and 361:

Lets look at the first ten multiples of these numbers, 353 and 361:

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

361,722,1083,1444,1805,2166,2527,2888,3249,6137 are the first ten multiples of 361.

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 353 and 361, for example, are 4236, 6001, and 5776. 127433 is the least common multiple since it is the smallest.

353 and 361 have an LCM of 127433.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 353 and 361, than apply into the LCM equation.

GCF(353,361) = 1
LCM(353,361) = ( 353 × 361) / 1
LCM(353,361) = 127433 / 1
LCM(353,361) = 127433

1. What is the LCM of 353 and 361?

The LCM of 353 and 361 is 127433.

2. How to find the lowest common multiple of 353 and 361?

To find the lowest common multiple of 353 and 361, we have to get the multip;es of both numbers and identify the least common multiple in them which is 127433.

3. 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.

4. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

Answer:

Least Common Multiple of 353 and 361 = 127433

Step 1: Find the prime factorization of 353

353 = 353

Step 2: Find the prime factorization of 361

361 = 19 x 19

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

LCM = 127433 = 19 x 19 x 353

Step 4: Therefore, the least common multiple of 353 and 361 is 127433.