Given Numbers are 430, 436

We can find the LCM of 430, 436 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 430 and 436

Multiples of 430 =430,860,1290,1720,2150,2580,3010,3440,3870,4300,4730,5160,5590,6020,6450,6880,7310,

Multiples of 436 =436,872,1308,1744,2180,2616,3052,3488,3924,4360,4796,5232,5668,6104,6540,6976,7412,

Now, get the least common multiple of 430, 436 which is 93740

So, the LCM of 430, 436 is 93740.

One method for determining the LCM of 430 and 436 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 430's prime factorization:

Prime factors of 430 are 2, 5,43.

430 = 2¹×5¹×43¹

And this is 436's prime factorization:

Prime factors of 436 are 2,109.

436 = 2²×109¹

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, 5,43,109

2²×5¹×43¹×109¹ = 93740

This shows that the LCM of 430 and 436 is 93740.

The first step in determining the Least Common Multiple of 430 and 436 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 430 and 436:

Lets look at the first ten multiples of these numbers, 430 and 436:

430,860,1290,1720,2150,2580,3010,3440,3870,7310 are the first ten multiples of 430.

436,872,1308,1744,2180,2616,3052,3488,3924,7412 are the first ten multiples of 436.

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 430 and 436, for example, are 5160, 7310, and 6976. 93740 is the least common multiple since it is the smallest.

430 and 436 have an LCM of 93740.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 430 and 436, than apply into the LCM equation.

GCF(430,436) = 2
LCM(430,436) = ( 430 × 436) / 2
LCM(430,436) = 187480 / 2
LCM(430,436) = 93740

1. What is the LCM of 430 and 436?

The LCM of 430 and 436 is 93740.

2. How to find the lowest common multiple of 430 and 436?

To find the lowest common multiple of 430 and 436, we have to get the multip;es of both numbers and identify the least common multiple in them which is 93740.

3. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

Answer:

Least Common Multiple of 430 and 436 = 93740

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 93740 = 2 x 2 x 5 x 43 x 109

Step 4: Therefore, the least common multiple of 430 and 436 is 93740.