Given Numbers are 436, 444

We can find the LCM of 436, 444 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 436 and 444

Multiples of 436 =436,872,1308,1744,2180,2616,3052,3488,3924,4360,4796,5232,5668,6104,6540,6976,7412,

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

Now, get the least common multiple of 436, 444 which is 48396

So, the LCM of 436, 444 is 48396.

One method for determining the LCM of 436 and 444 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 436's prime factorization:

Prime factors of 436 are 2,109.

436 = 2²×109¹

And this is 444's prime factorization:

Prime factors of 444 are 2, 3,37.

444 = 2²×3¹×37¹

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: 2,109, 3,37

2²×3¹×37¹×109¹ = 48396

This shows that the LCM of 436 and 444 is 48396.

The first step in determining the Least Common Multiple of 436 and 444 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 436 and 444:

Lets look at the first ten multiples of these numbers, 436 and 444:

436,872,1308,1744,2180,2616,3052,3488,3924,7412 are the first ten multiples of 436.

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

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 436 and 444, for example, are 5232, 7412, and 7104. 48396 is the least common multiple since it is the smallest.

436 and 444 have an LCM of 48396.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 436 and 444, than apply into the LCM equation.

GCF(436,444) = 4
LCM(436,444) = ( 436 × 444) / 4
LCM(436,444) = 193584 / 4
LCM(436,444) = 48396

1. What is the LCM of 436 and 444?

The LCM of 436 and 444 is 48396.

2. How to find the lowest common multiple of 436 and 444?

To find the lowest common multiple of 436 and 444, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48396.

3. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. 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.

Answer:

Least Common Multiple of 436 and 444 = 48396

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 48396 = 2 x 2 x 3 x 37 x 109

Step 4: Therefore, the least common multiple of 436 and 444 is 48396.