Given Numbers are 444, 449

We can find the LCM of 444, 449 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 444 and 449

Multiples of 444 =444,888,1332,1776,2220,2664,3108,3552,3996,4440,4884,5328,5772,6216,6660,7104,7548,

Multiples of 449 =449,898,1347,1796,2245,2694,3143,3592,4041,4490,4939,5388,5837,6286,6735,7184,7633,

Now, get the least common multiple of 444, 449 which is 199356

So, the LCM of 444, 449 is 199356.

One method for determining the LCM of 444 and 449 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 444's prime factorization:

Prime factors of 444 are 2, 3,37.

444 = 2²×3¹×37¹

And this is 449's prime factorization:

Prime factors of 449 are 449.

449 = 449¹

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, 3,37,449

2²×3¹×37¹×449¹ = 199356

This shows that the LCM of 444 and 449 is 199356.

The first step in determining the Least Common Multiple of 444 and 449 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 444 and 449:

Lets look at the first ten multiples of these numbers, 444 and 449:

444,888,1332,1776,2220,2664,3108,3552,3996,7548 are the first ten multiples of 444.

449,898,1347,1796,2245,2694,3143,3592,4041,7633 are the first ten multiples of 449.

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 444 and 449, for example, are 5328, 7548, and 7184. 199356 is the least common multiple since it is the smallest.

444 and 449 have an LCM of 199356.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 444 and 449, than apply into the LCM equation.

GCF(444,449) = 1
LCM(444,449) = ( 444 × 449) / 1
LCM(444,449) = 199356 / 1
LCM(444,449) = 199356

1. What is the LCM of 444 and 449?

The LCM of 444 and 449 is 199356.

2. How to find the lowest common multiple of 444 and 449?

To find the lowest common multiple of 444 and 449, we have to get the multip;es of both numbers and identify the least common multiple in them which is 199356.

3. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

4. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

Answer:

Least Common Multiple of 444 and 449 = 199356

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 449

449 = 449

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

LCM = 199356 = 2 x 2 x 3 x 37 x 449

Step 4: Therefore, the least common multiple of 444 and 449 is 199356.