Given Numbers are 442, 446

We can find the LCM of 442, 446 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 442 and 446

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

Multiples of 446 =446,892,1338,1784,2230,2676,3122,3568,4014,4460,4906,5352,5798,6244,6690,7136,7582,

Now, get the least common multiple of 442, 446 which is 98566

So, the LCM of 442, 446 is 98566.

One method for determining the LCM of 442 and 446 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 446's prime factorization:

Prime factors of 446 are 2,223.

446 = 2¹×223¹

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, 13,17,223

2¹×13¹×17¹×223¹ = 98566

This shows that the LCM of 442 and 446 is 98566.

The first step in determining the Least Common Multiple of 442 and 446 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 442 and 446:

Lets look at the first ten multiples of these numbers, 442 and 446:

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

446,892,1338,1784,2230,2676,3122,3568,4014,7582 are the first ten multiples of 446.

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 446, for example, are 5304, 7514, and 7136. 98566 is the least common multiple since it is the smallest.

442 and 446 have an LCM of 98566.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 446, than apply into the LCM equation.

GCF(442,446) = 2
LCM(442,446) = ( 442 × 446) / 2
LCM(442,446) = 197132 / 2
LCM(442,446) = 98566

1. What is the LCM of 442 and 446?

The LCM of 442 and 446 is 98566.

2. How to find the lowest common multiple of 442 and 446?

To find the lowest common multiple of 442 and 446, we have to get the multip;es of both numbers and identify the least common multiple in them which is 98566.

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 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

Answer:

Least Common Multiple of 442 and 446 = 98566

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 2: Find the prime factorization of 446

446 = 2 x 223

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

LCM = 98566 = 2 x 13 x 17 x 223

Step 4: Therefore, the least common multiple of 442 and 446 is 98566.