Given Numbers are 437, 442

We can find the LCM of 437, 442 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 437 and 442

Multiples of 437 =437,874,1311,1748,2185,2622,3059,3496,3933,4370,4807,5244,5681,6118,6555,6992,7429,

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

Now, get the least common multiple of 437, 442 which is 193154

So, the LCM of 437, 442 is 193154.

One method for determining the LCM of 437 and 442 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 437's prime factorization:

Prime factors of 437 are 19,23.

437 = 19¹×23¹

And this is 442's prime factorization:

Prime factors of 442 are 2, 13,17.

442 = 2¹×13¹×17¹

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: 19,23, 2, 13,17

2¹×13¹×17¹×19¹×23¹ = 193154

This shows that the LCM of 437 and 442 is 193154.

The first step in determining the Least Common Multiple of 437 and 442 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 437 and 442:

Lets look at the first ten multiples of these numbers, 437 and 442:

437,874,1311,1748,2185,2622,3059,3496,3933,7429 are the first ten multiples of 437.

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

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 437 and 442, for example, are 5244, 7429, and 7072. 193154 is the least common multiple since it is the smallest.

437 and 442 have an LCM of 193154.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 437 and 442, than apply into the LCM equation.

GCF(437,442) = 1
LCM(437,442) = ( 437 × 442) / 1
LCM(437,442) = 193154 / 1
LCM(437,442) = 193154

1. What is the LCM of 437 and 442?

The LCM of 437 and 442 is 193154.

2. How to find the lowest common multiple of 437 and 442?

To find the lowest common multiple of 437 and 442, we have to get the multip;es of both numbers and identify the least common multiple in them which is 193154.

3. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

4. 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.

Answer:

Least Common Multiple of 437 and 442 = 193154

Step 1: Find the prime factorization of 437

437 = 19 x 23

Step 2: Find the prime factorization of 442

442 = 2 x 13 x 17

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

LCM = 193154 = 2 x 13 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 437 and 442 is 193154.