Given Numbers are 441, 445

We can find the LCM of 441, 445 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 441 and 445

Multiples of 441 =441,882,1323,1764,2205,2646,3087,3528,3969,4410,4851,5292,5733,6174,6615,7056,7497,

Multiples of 445 =445,890,1335,1780,2225,2670,3115,3560,4005,4450,4895,5340,5785,6230,6675,7120,7565,

Now, get the least common multiple of 441, 445 which is 196245

So, the LCM of 441, 445 is 196245.

One method for determining the LCM of 441 and 445 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 441's prime factorization:

Prime factors of 441 are 3,7.

441 = 3²×7²

And this is 445's prime factorization:

Prime factors of 445 are 5,89.

445 = 5¹×89¹

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, 5,89

3²×5¹×7²×89¹ = 196245

This shows that the LCM of 441 and 445 is 196245.

The first step in determining the Least Common Multiple of 441 and 445 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 441 and 445:

Lets look at the first ten multiples of these numbers, 441 and 445:

441,882,1323,1764,2205,2646,3087,3528,3969,7497 are the first ten multiples of 441.

445,890,1335,1780,2225,2670,3115,3560,4005,7565 are the first ten multiples of 445.

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 441 and 445, for example, are 5292, 7497, and 7120. 196245 is the least common multiple since it is the smallest.

441 and 445 have an LCM of 196245.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 441 and 445, than apply into the LCM equation.

GCF(441,445) = 1
LCM(441,445) = ( 441 × 445) / 1
LCM(441,445) = 196245 / 1
LCM(441,445) = 196245

1. What is the LCM of 441 and 445?

The LCM of 441 and 445 is 196245.

2. How to find the lowest common multiple of 441 and 445?

To find the lowest common multiple of 441 and 445, we have to get the multip;es of both numbers and identify the least common multiple in them which is 196245.

3. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

4. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

Answer:

Least Common Multiple of 441 and 445 = 196245

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 445

445 = 5 x 89

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

LCM = 196245 = 3 x 3 x 5 x 7 x 7 x 89

Step 4: Therefore, the least common multiple of 441 and 445 is 196245.