Given Numbers are 444, 452

We can find the LCM of 444, 452 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 444 and 452

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

Multiples of 452 =452,904,1356,1808,2260,2712,3164,3616,4068,4520,4972,5424,5876,6328,6780,7232,7684,

Now, get the least common multiple of 444, 452 which is 50172

So, the LCM of 444, 452 is 50172.

One method for determining the LCM of 444 and 452 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 452's prime factorization:

Prime factors of 452 are 2,113.

452 = 2²×113¹

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, 3,37,113

2²×3¹×37¹×113¹ = 50172

This shows that the LCM of 444 and 452 is 50172.

The first step in determining the Least Common Multiple of 444 and 452 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 444 and 452:

Lets look at the first ten multiples of these numbers, 444 and 452:

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

452,904,1356,1808,2260,2712,3164,3616,4068,7684 are the first ten multiples of 452.

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 452, for example, are 5328, 7548, and 7232. 50172 is the least common multiple since it is the smallest.

444 and 452 have an LCM of 50172.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 444 and 452, than apply into the LCM equation.

GCF(444,452) = 4
LCM(444,452) = ( 444 × 452) / 4
LCM(444,452) = 200688 / 4
LCM(444,452) = 50172

1. What is the LCM of 444 and 452?

The LCM of 444 and 452 is 50172.

2. How to find the lowest common multiple of 444 and 452?

To find the lowest common multiple of 444 and 452, we have to get the multip;es of both numbers and identify the least common multiple in them which is 50172.

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 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

Answer:

Least Common Multiple of 444 and 452 = 50172

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 452

452 = 2 x 2 x 113

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

LCM = 50172 = 2 x 2 x 3 x 37 x 113

Step 4: Therefore, the least common multiple of 444 and 452 is 50172.