Given Numbers are 438, 445

We can find the LCM of 438, 445 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 438 and 445

Multiples of 438 =438,876,1314,1752,2190,2628,3066,3504,3942,4380,4818,5256,5694,6132,6570,7008,7446,

Multiples of 445 =445,890,1335,1780,2225,2670,3115,3560,4005,4450,4895,5340,5785,6230,6675,7120,7565,

Now, get the least common multiple of 438, 445 which is 194910

So, the LCM of 438, 445 is 194910.

One method for determining the LCM of 438 and 445 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 438's prime factorization:

Prime factors of 438 are 2, 3,73.

438 = 2¹×3¹×73¹

And this is 445's prime factorization:

Prime factors of 445 are 5,89.

445 = 5¹×89¹

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, 3,73, 5,89

2¹×3¹×5¹×73¹×89¹ = 194910

This shows that the LCM of 438 and 445 is 194910.

The first step in determining the Least Common Multiple of 438 and 445 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 438 and 445:

Lets look at the first ten multiples of these numbers, 438 and 445:

438,876,1314,1752,2190,2628,3066,3504,3942,7446 are the first ten multiples of 438.

445,890,1335,1780,2225,2670,3115,3560,4005,7565 are the first ten multiples of 445.

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 438 and 445, for example, are 5256, 7446, and 7120. 194910 is the least common multiple since it is the smallest.

438 and 445 have an LCM of 194910.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 445, than apply into the LCM equation.

GCF(438,445) = 1
LCM(438,445) = ( 438 × 445) / 1
LCM(438,445) = 194910 / 1
LCM(438,445) = 194910

1. What is the LCM of 438 and 445?

The LCM of 438 and 445 is 194910.

2. How to find the lowest common multiple of 438 and 445?

To find the lowest common multiple of 438 and 445, we have to get the multip;es of both numbers and identify the least common multiple in them which is 194910.

3. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

4. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

Answer:

Least Common Multiple of 438 and 445 = 194910

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 445

445 = 5 x 89

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

LCM = 194910 = 2 x 3 x 5 x 73 x 89

Step 4: Therefore, the least common multiple of 438 and 445 is 194910.