Given Numbers are 434, 441

We can find the LCM of 434, 441 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 434 and 441

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

Multiples of 441 =441,882,1323,1764,2205,2646,3087,3528,3969,4410,4851,5292,5733,6174,6615,7056,7497,

Now, get the least common multiple of 434, 441 which is 27342

So, the LCM of 434, 441 is 27342.

One method for determining the LCM of 434 and 441 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 434's prime factorization:

Prime factors of 434 are 2, 7,31.

434 = 2¹×7¹×31¹

And this is 441's prime factorization:

Prime factors of 441 are 3,7.

441 = 3²×7²

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, 7,31,3

2¹×3²×7²×31¹ = 27342

This shows that the LCM of 434 and 441 is 27342.

The first step in determining the Least Common Multiple of 434 and 441 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 434 and 441:

Lets look at the first ten multiples of these numbers, 434 and 441:

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

441,882,1323,1764,2205,2646,3087,3528,3969,7497 are the first ten multiples of 441.

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 434 and 441, for example, are 5208, 7378, and 7056. 27342 is the least common multiple since it is the smallest.

434 and 441 have an LCM of 27342.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 434 and 441, than apply into the LCM equation.

GCF(434,441) = 7
LCM(434,441) = ( 434 × 441) / 7
LCM(434,441) = 191394 / 7
LCM(434,441) = 27342

1. What is the LCM of 434 and 441?

The LCM of 434 and 441 is 27342.

2. How to find the lowest common multiple of 434 and 441?

To find the lowest common multiple of 434 and 441, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27342.

3. 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.

4. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

Answer:

Least Common Multiple of 434 and 441 = 27342

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

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

LCM = 27342 = 2 x 3 x 3 x 7 x 7 x 31

Step 4: Therefore, the least common multiple of 434 and 441 is 27342.