Given Numbers are 430, 434

We can find the LCM of 430, 434 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 430 and 434

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

Multiples of 434 =434,868,1302,1736,2170,2604,3038,3472,3906,4340,4774,5208,5642,6076,6510,6944,7378,

Now, get the least common multiple of 430, 434 which is 93310

So, the LCM of 430, 434 is 93310.

One method for determining the LCM of 430 and 434 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 434's prime factorization:

Prime factors of 434 are 2, 7,31.

434 = 2¹×7¹×31¹

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, 7,31

2¹×5¹×7¹×31¹×43¹ = 93310

This shows that the LCM of 430 and 434 is 93310.

The first step in determining the Least Common Multiple of 430 and 434 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 430 and 434:

Lets look at the first ten multiples of these numbers, 430 and 434:

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

434,868,1302,1736,2170,2604,3038,3472,3906,7378 are the first ten multiples of 434.

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 434, for example, are 5160, 7310, and 6944. 93310 is the least common multiple since it is the smallest.

430 and 434 have an LCM of 93310.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 430 and 434, than apply into the LCM equation.

GCF(430,434) = 2
LCM(430,434) = ( 430 × 434) / 2
LCM(430,434) = 186620 / 2
LCM(430,434) = 93310

1. What is the LCM of 430 and 434?

The LCM of 430 and 434 is 93310.

2. How to find the lowest common multiple of 430 and 434?

To find the lowest common multiple of 430 and 434, we have to get the multip;es of both numbers and identify the least common multiple in them which is 93310.

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 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

Answer:

Least Common Multiple of 430 and 434 = 93310

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 93310 = 2 x 5 x 7 x 31 x 43

Step 4: Therefore, the least common multiple of 430 and 434 is 93310.