Given Numbers are 356, 361

We can find the LCM of 356, 361 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 356 and 361

Multiples of 356 =356,712,1068,1424,1780,2136,2492,2848,3204,3560,3916,4272,4628,4984,5340,5696,6052,

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 356, 361 which is 128516

So, the LCM of 356, 361 is 128516.

One method for determining the LCM of 356 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 356's prime factorization:

Prime factors of 356 are 2,89.

356 = 2²×89¹

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: 2,89,19

2²×19²×89¹ = 128516

This shows that the LCM of 356 and 361 is 128516.

The first step in determining the Least Common Multiple of 356 and 361 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 356 and 361:

Lets look at the first ten multiples of these numbers, 356 and 361:

356,712,1068,1424,1780,2136,2492,2848,3204,6052 are the first ten multiples of 356.

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 356 and 361, for example, are 4272, 6052, and 5776. 128516 is the least common multiple since it is the smallest.

356 and 361 have an LCM of 128516.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 361, than apply into the LCM equation.

GCF(356,361) = 1
LCM(356,361) = ( 356 × 361) / 1
LCM(356,361) = 128516 / 1
LCM(356,361) = 128516

1. What is the LCM of 356 and 361?

The LCM of 356 and 361 is 128516.

2. How to find the lowest common multiple of 356 and 361?

To find the lowest common multiple of 356 and 361, we have to get the multip;es of both numbers and identify the least common multiple in them which is 128516.

3. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

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 356 and 361 = 128516

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

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 = 128516 = 2 x 2 x 19 x 19 x 89

Step 4: Therefore, the least common multiple of 356 and 361 is 128516.