Given Numbers are 440, 444

We can find the LCM of 440, 444 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 440 and 444

Multiples of 440 =440,880,1320,1760,2200,2640,3080,3520,3960,4400,4840,5280,5720,6160,6600,7040,7480,

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 440, 444 which is 48840

So, the LCM of 440, 444 is 48840.

One method for determining the LCM of 440 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 440's prime factorization:

Prime factors of 440 are 2, 5,11.

440 = 2³×5¹×11¹

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, 5,11, 3,37

2³×3¹×5¹×11¹×37¹ = 48840

This shows that the LCM of 440 and 444 is 48840.

The first step in determining the Least Common Multiple of 440 and 444 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 440 and 444:

Lets look at the first ten multiples of these numbers, 440 and 444:

440,880,1320,1760,2200,2640,3080,3520,3960,7480 are the first ten multiples of 440.

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 440 and 444, for example, are 5280, 7480, and 7104. 48840 is the least common multiple since it is the smallest.

440 and 444 have an LCM of 48840.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 440 and 444, than apply into the LCM equation.

GCF(440,444) = 4
LCM(440,444) = ( 440 × 444) / 4
LCM(440,444) = 195360 / 4
LCM(440,444) = 48840

1. What is the LCM of 440 and 444?

The LCM of 440 and 444 is 48840.

2. How to find the lowest common multiple of 440 and 444?

To find the lowest common multiple of 440 and 444, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48840.

3. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

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 440 and 444 = 48840

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

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 = 48840 = 2 x 2 x 2 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 440 and 444 is 48840.