Given Numbers are 435, 443

We can find the LCM of 435, 443 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 435 and 443

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

Multiples of 443 =443,886,1329,1772,2215,2658,3101,3544,3987,4430,4873,5316,5759,6202,6645,7088,7531,

Now, get the least common multiple of 435, 443 which is 192705

So, the LCM of 435, 443 is 192705.

One method for determining the LCM of 435 and 443 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 443's prime factorization:

Prime factors of 443 are 443.

443 = 443¹

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, 5,29,443

3¹×5¹×29¹×443¹ = 192705

This shows that the LCM of 435 and 443 is 192705.

The first step in determining the Least Common Multiple of 435 and 443 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 435 and 443:

Lets look at the first ten multiples of these numbers, 435 and 443:

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

443,886,1329,1772,2215,2658,3101,3544,3987,7531 are the first ten multiples of 443.

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 443, for example, are 5220, 7395, and 7088. 192705 is the least common multiple since it is the smallest.

435 and 443 have an LCM of 192705.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 435 and 443, than apply into the LCM equation.

GCF(435,443) = 1
LCM(435,443) = ( 435 × 443) / 1
LCM(435,443) = 192705 / 1
LCM(435,443) = 192705

1. What is the LCM of 435 and 443?

The LCM of 435 and 443 is 192705.

2. How to find the lowest common multiple of 435 and 443?

To find the lowest common multiple of 435 and 443, we have to get the multip;es of both numbers and identify the least common multiple in them which is 192705.

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 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

Answer:

Least Common Multiple of 435 and 443 = 192705

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

Step 2: Find the prime factorization of 443

443 = 443

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

LCM = 192705 = 3 x 5 x 29 x 443

Step 4: Therefore, the least common multiple of 435 and 443 is 192705.