Given Numbers are 194, 200

We can find the LCM of 194, 200 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 194 and 200

Multiples of 194 =194,388,582,776,970,1164,1358,1552,1746,1940,2134,2328,2522,2716,2910,3104,3298,

Multiples of 200 =200,400,600,800,1000,1200,1400,1600,1800,2000,2200,2400,2600,2800,3000,3200,3400,

Now, get the least common multiple of 194, 200 which is 19400

So, the LCM of 194, 200 is 19400.

One method for determining the LCM of 194 and 200 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 194's prime factorization:

Prime factors of 194 are 2,97.

194 = 2¹×97¹

And this is 200's prime factorization:

Prime factors of 200 are 2,5.

200 = 2³×5²

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: 2,97,5

2³×5²×97¹ = 19400

This shows that the LCM of 194 and 200 is 19400.

The first step in determining the Least Common Multiple of 194 and 200 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 194 and 200:

Lets look at the first ten multiples of these numbers, 194 and 200:

194,388,582,776,970,1164,1358,1552,1746,3298 are the first ten multiples of 194.

200,400,600,800,1000,1200,1400,1600,1800,3400 are the first ten multiples of 200.

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 194 and 200, for example, are 2328, 3298, and 3200. 19400 is the least common multiple since it is the smallest.

194 and 200 have an LCM of 19400.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 194 and 200, than apply into the LCM equation.

GCF(194,200) = 2
LCM(194,200) = ( 194 × 200) / 2
LCM(194,200) = 38800 / 2
LCM(194,200) = 19400

1. What is the LCM of 194 and 200?

The LCM of 194 and 200 is 19400.

2. How to find the lowest common multiple of 194 and 200?

To find the lowest common multiple of 194 and 200, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19400.

3. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

4. What are the Factors of 200?

Answer: Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. There are 12 integers that are factors of 200. The greatest factor of 200 is 200.

Answer:

Least Common Multiple of 194 and 200 = 19400

Step 1: Find the prime factorization of 194

194 = 2 x 97

Step 2: Find the prime factorization of 200

200 = 2 x 2 x 2 x 5 x 5

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

LCM = 19400 = 2 x 2 x 2 x 5 x 5 x 97

Step 4: Therefore, the least common multiple of 194 and 200 is 19400.