Given Numbers are 194, 201

We can find the LCM of 194, 201 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 194 and 201

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

Multiples of 201 =201,402,603,804,1005,1206,1407,1608,1809,2010,2211,2412,2613,2814,3015,3216,3417,

Now, get the least common multiple of 194, 201 which is 38994

So, the LCM of 194, 201 is 38994.

One method for determining the LCM of 194 and 201 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 201's prime factorization:

Prime factors of 201 are 3,67.

201 = 3¹×67¹

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, 3,67

2¹×3¹×67¹×97¹ = 38994

This shows that the LCM of 194 and 201 is 38994.

The first step in determining the Least Common Multiple of 194 and 201 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 194 and 201:

Lets look at the first ten multiples of these numbers, 194 and 201:

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

201,402,603,804,1005,1206,1407,1608,1809,3417 are the first ten multiples of 201.

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 201, for example, are 2328, 3298, and 3216. 38994 is the least common multiple since it is the smallest.

194 and 201 have an LCM of 38994.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 194 and 201, than apply into the LCM equation.

GCF(194,201) = 1
LCM(194,201) = ( 194 × 201) / 1
LCM(194,201) = 38994 / 1
LCM(194,201) = 38994

1. What is the LCM of 194 and 201?

The LCM of 194 and 201 is 38994.

2. How to find the lowest common multiple of 194 and 201?

To find the lowest common multiple of 194 and 201, we have to get the multip;es of both numbers and identify the least common multiple in them which is 38994.

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 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

Answer:

Least Common Multiple of 194 and 201 = 38994

Step 1: Find the prime factorization of 194

194 = 2 x 97

Step 2: Find the prime factorization of 201

201 = 3 x 67

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

LCM = 38994 = 2 x 3 x 67 x 97

Step 4: Therefore, the least common multiple of 194 and 201 is 38994.