Given Numbers are 201, 208

We can find the LCM of 201, 208 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 201 and 208

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

Multiples of 208 =208,416,624,832,1040,1248,1456,1664,1872,2080,2288,2496,2704,2912,3120,3328,3536,

Now, get the least common multiple of 201, 208 which is 41808

So, the LCM of 201, 208 is 41808.

One method for determining the LCM of 201 and 208 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 201's prime factorization:

Prime factors of 201 are 3,67.

201 = 3¹×67¹

And this is 208's prime factorization:

Prime factors of 208 are 2,13.

208 = 2⁴×13¹

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: 3,67, 2,13

2⁴×3¹×13¹×67¹ = 41808

This shows that the LCM of 201 and 208 is 41808.

The first step in determining the Least Common Multiple of 201 and 208 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 201 and 208:

Lets look at the first ten multiples of these numbers, 201 and 208:

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

208,416,624,832,1040,1248,1456,1664,1872,3536 are the first ten multiples of 208.

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 201 and 208, for example, are 2412, 3417, and 3328. 41808 is the least common multiple since it is the smallest.

201 and 208 have an LCM of 41808.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 208, than apply into the LCM equation.

GCF(201,208) = 1
LCM(201,208) = ( 201 × 208) / 1
LCM(201,208) = 41808 / 1
LCM(201,208) = 41808

1. What is the LCM of 201 and 208?

The LCM of 201 and 208 is 41808.

2. How to find the lowest common multiple of 201 and 208?

To find the lowest common multiple of 201 and 208, we have to get the multip;es of both numbers and identify the least common multiple in them which is 41808.

3. 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.

4. What are the Factors of 208?

Answer: Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. There are 10 integers that are factors of 208. The greatest factor of 208 is 208.

Answer:

Least Common Multiple of 201 and 208 = 41808

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 208

208 = 2 x 2 x 2 x 2 x 13

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

LCM = 41808 = 2 x 2 x 2 x 2 x 3 x 13 x 67

Step 4: Therefore, the least common multiple of 201 and 208 is 41808.