Given Numbers are 428, 435

We can find the LCM of 428, 435 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 428 and 435

Multiples of 428 =428,856,1284,1712,2140,2568,2996,3424,3852,4280,4708,5136,5564,5992,6420,6848,7276,

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

Now, get the least common multiple of 428, 435 which is 186180

So, the LCM of 428, 435 is 186180.

One method for determining the LCM of 428 and 435 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 428's prime factorization:

Prime factors of 428 are 2,107.

428 = 2²×107¹

And this is 435's prime factorization:

Prime factors of 435 are 3, 5,29.

435 = 3¹×5¹×29¹

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: 2,107, 3, 5,29

2²×3¹×5¹×29¹×107¹ = 186180

This shows that the LCM of 428 and 435 is 186180.

The first step in determining the Least Common Multiple of 428 and 435 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 428 and 435:

Lets look at the first ten multiples of these numbers, 428 and 435:

428,856,1284,1712,2140,2568,2996,3424,3852,7276 are the first ten multiples of 428.

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

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 428 and 435, for example, are 5136, 7276, and 6960. 186180 is the least common multiple since it is the smallest.

428 and 435 have an LCM of 186180.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 428 and 435, than apply into the LCM equation.

GCF(428,435) = 1
LCM(428,435) = ( 428 × 435) / 1
LCM(428,435) = 186180 / 1
LCM(428,435) = 186180

1. What is the LCM of 428 and 435?

The LCM of 428 and 435 is 186180.

2. How to find the lowest common multiple of 428 and 435?

To find the lowest common multiple of 428 and 435, we have to get the multip;es of both numbers and identify the least common multiple in them which is 186180.

3. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

4. 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.

Answer:

Least Common Multiple of 428 and 435 = 186180

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 435

435 = 3 x 5 x 29

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

LCM = 186180 = 2 x 2 x 3 x 5 x 29 x 107

Step 4: Therefore, the least common multiple of 428 and 435 is 186180.