Given Numbers are 423, 430

We can find the LCM of 423, 430 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 423 and 430

Multiples of 423 =423,846,1269,1692,2115,2538,2961,3384,3807,4230,4653,5076,5499,5922,6345,6768,7191,

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

Now, get the least common multiple of 423, 430 which is 181890

So, the LCM of 423, 430 is 181890.

One method for determining the LCM of 423 and 430 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 423's prime factorization:

Prime factors of 423 are 3,47.

423 = 3²×47¹

And this is 430's prime factorization:

Prime factors of 430 are 2, 5,43.

430 = 2¹×5¹×43¹

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: 3,47, 2, 5,43

2¹×3²×5¹×43¹×47¹ = 181890

This shows that the LCM of 423 and 430 is 181890.

The first step in determining the Least Common Multiple of 423 and 430 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 423 and 430:

Lets look at the first ten multiples of these numbers, 423 and 430:

423,846,1269,1692,2115,2538,2961,3384,3807,7191 are the first ten multiples of 423.

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

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 423 and 430, for example, are 5076, 7191, and 6880. 181890 is the least common multiple since it is the smallest.

423 and 430 have an LCM of 181890.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 430, than apply into the LCM equation.

GCF(423,430) = 1
LCM(423,430) = ( 423 × 430) / 1
LCM(423,430) = 181890 / 1
LCM(423,430) = 181890

1. What is the LCM of 423 and 430?

The LCM of 423 and 430 is 181890.

2. How to find the lowest common multiple of 423 and 430?

To find the lowest common multiple of 423 and 430, we have to get the multip;es of both numbers and identify the least common multiple in them which is 181890.

3. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

4. 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.

Answer:

Least Common Multiple of 423 and 430 = 181890

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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

LCM = 181890 = 2 x 3 x 3 x 5 x 43 x 47

Step 4: Therefore, the least common multiple of 423 and 430 is 181890.