Given Numbers are 442, 449

We can find the LCM of 442, 449 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 442 and 449

Multiples of 442 =442,884,1326,1768,2210,2652,3094,3536,3978,4420,4862,5304,5746,6188,6630,7072,7514,

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 442, 449 which is 198458

So, the LCM of 442, 449 is 198458.

One method for determining the LCM of 442 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 442's prime factorization:

Prime factors of 442 are 2, 13,17.

442 = 2¹×13¹×17¹

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, 13,17,449

2¹×13¹×17¹×449¹ = 198458

This shows that the LCM of 442 and 449 is 198458.

The first step in determining the Least Common Multiple of 442 and 449 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 442 and 449:

Lets look at the first ten multiples of these numbers, 442 and 449:

442,884,1326,1768,2210,2652,3094,3536,3978,7514 are the first ten multiples of 442.

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 442 and 449, for example, are 5304, 7514, and 7184. 198458 is the least common multiple since it is the smallest.

442 and 449 have an LCM of 198458.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 449, than apply into the LCM equation.

GCF(442,449) = 1
LCM(442,449) = ( 442 × 449) / 1
LCM(442,449) = 198458 / 1
LCM(442,449) = 198458

1. What is the LCM of 442 and 449?

The LCM of 442 and 449 is 198458.

2. How to find the lowest common multiple of 442 and 449?

To find the lowest common multiple of 442 and 449, we have to get the multip;es of both numbers and identify the least common multiple in them which is 198458.

3. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

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 442 and 449 = 198458

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

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 = 198458 = 2 x 13 x 17 x 449

Step 4: Therefore, the least common multiple of 442 and 449 is 198458.