Given Numbers are 426, 430

We can find the LCM of 426, 430 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 426 and 430

Multiples of 426 =426,852,1278,1704,2130,2556,2982,3408,3834,4260,4686,5112,5538,5964,6390,6816,7242,

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 426, 430 which is 91590

So, the LCM of 426, 430 is 91590.

One method for determining the LCM of 426 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 426's prime factorization:

Prime factors of 426 are 2, 3,71.

426 = 2¹×3¹×71¹

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: 2, 3,71, 5,43

2¹×3¹×5¹×43¹×71¹ = 91590

This shows that the LCM of 426 and 430 is 91590.

The first step in determining the Least Common Multiple of 426 and 430 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 426 and 430:

Lets look at the first ten multiples of these numbers, 426 and 430:

426,852,1278,1704,2130,2556,2982,3408,3834,7242 are the first ten multiples of 426.

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 426 and 430, for example, are 5112, 7242, and 6880. 91590 is the least common multiple since it is the smallest.

426 and 430 have an LCM of 91590.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 426 and 430, than apply into the LCM equation.

GCF(426,430) = 2
LCM(426,430) = ( 426 × 430) / 2
LCM(426,430) = 183180 / 2
LCM(426,430) = 91590

1. What is the LCM of 426 and 430?

The LCM of 426 and 430 is 91590.

2. How to find the lowest common multiple of 426 and 430?

To find the lowest common multiple of 426 and 430, we have to get the multip;es of both numbers and identify the least common multiple in them which is 91590.

3. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

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 426 and 430 = 91590

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 91590 = 2 x 3 x 5 x 43 x 71

Step 4: Therefore, the least common multiple of 426 and 430 is 91590.