Given Numbers are 435, 442

We can find the LCM of 435, 442 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 435 and 442

Multiples of 435 =435,870,1305,1740,2175,2610,3045,3480,3915,4350,4785,5220,5655,6090,6525,6960,7395,

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 435, 442 which is 192270

So, the LCM of 435, 442 is 192270.

One method for determining the LCM of 435 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 435's prime factorization:

Prime factors of 435 are 3, 5,29.

435 = 3¹×5¹×29¹

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: 3, 5,29, 2, 13,17

2¹×3¹×5¹×13¹×17¹×29¹ = 192270

This shows that the LCM of 435 and 442 is 192270.

The first step in determining the Least Common Multiple of 435 and 442 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 435 and 442:

Lets look at the first ten multiples of these numbers, 435 and 442:

435,870,1305,1740,2175,2610,3045,3480,3915,7395 are the first ten multiples of 435.

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 435 and 442, for example, are 5220, 7395, and 7072. 192270 is the least common multiple since it is the smallest.

435 and 442 have an LCM of 192270.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 435 and 442, than apply into the LCM equation.

GCF(435,442) = 1
LCM(435,442) = ( 435 × 442) / 1
LCM(435,442) = 192270 / 1
LCM(435,442) = 192270

1. What is the LCM of 435 and 442?

The LCM of 435 and 442 is 192270.

2. How to find the lowest common multiple of 435 and 442?

To find the lowest common multiple of 435 and 442, we have to get the multip;es of both numbers and identify the least common multiple in them which is 192270.

3. What are the Factors of 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

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 435 and 442 = 192270

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

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 = 192270 = 2 x 3 x 5 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 435 and 442 is 192270.