Given Numbers are 357, 361

We can find the LCM of 357, 361 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 357 and 361

Multiples of 357 =357,714,1071,1428,1785,2142,2499,2856,3213,3570,3927,4284,4641,4998,5355,5712,6069,

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 357, 361 which is 128877

So, the LCM of 357, 361 is 128877.

One method for determining the LCM of 357 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 357's prime factorization:

Prime factors of 357 are 3, 7,17.

357 = 3¹×7¹×17¹

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: 3, 7,17,19

3¹×7¹×17¹×19² = 128877

This shows that the LCM of 357 and 361 is 128877.

The first step in determining the Least Common Multiple of 357 and 361 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 357 and 361:

Lets look at the first ten multiples of these numbers, 357 and 361:

357,714,1071,1428,1785,2142,2499,2856,3213,6069 are the first ten multiples of 357.

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 357 and 361, for example, are 4284, 6069, and 5776. 128877 is the least common multiple since it is the smallest.

357 and 361 have an LCM of 128877.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 357 and 361, than apply into the LCM equation.

GCF(357,361) = 1
LCM(357,361) = ( 357 × 361) / 1
LCM(357,361) = 128877 / 1
LCM(357,361) = 128877

1. What is the LCM of 357 and 361?

The LCM of 357 and 361 is 128877.

2. How to find the lowest common multiple of 357 and 361?

To find the lowest common multiple of 357 and 361, we have to get the multip;es of both numbers and identify the least common multiple in them which is 128877.

3. What are the Factors of 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

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 357 and 361 = 128877

Step 1: Find the prime factorization of 357

357 = 3 x 7 x 17

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 = 128877 = 3 x 7 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 357 and 361 is 128877.