Given Numbers are 202, 210

We can find the LCM of 202, 210 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 202 and 210

Multiples of 202 =202,404,606,808,1010,1212,1414,1616,1818,2020,2222,2424,2626,2828,3030,3232,3434,

Multiples of 210 =210,420,630,840,1050,1260,1470,1680,1890,2100,2310,2520,2730,2940,3150,3360,3570,

Now, get the least common multiple of 202, 210 which is 21210

So, the LCM of 202, 210 is 21210.

One method for determining the LCM of 202 and 210 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 202's prime factorization:

Prime factors of 202 are 2,101.

202 = 2¹×101¹

And this is 210's prime factorization:

Prime factors of 210 are 2, 3, 5,7.

210 = 2¹×3¹×5¹×7¹

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: 2,101, 3, 5,7

2¹×3¹×5¹×7¹×101¹ = 21210

This shows that the LCM of 202 and 210 is 21210.

The first step in determining the Least Common Multiple of 202 and 210 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 202 and 210:

Lets look at the first ten multiples of these numbers, 202 and 210:

202,404,606,808,1010,1212,1414,1616,1818,3434 are the first ten multiples of 202.

210,420,630,840,1050,1260,1470,1680,1890,3570 are the first ten multiples of 210.

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 202 and 210, for example, are 2424, 3434, and 3360. 21210 is the least common multiple since it is the smallest.

202 and 210 have an LCM of 21210.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 202 and 210, than apply into the LCM equation.

GCF(202,210) = 2
LCM(202,210) = ( 202 × 210) / 2
LCM(202,210) = 42420 / 2
LCM(202,210) = 21210

1. What is the LCM of 202 and 210?

The LCM of 202 and 210 is 21210.

2. How to find the lowest common multiple of 202 and 210?

To find the lowest common multiple of 202 and 210, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21210.

3. What are the Factors of 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

4. What are the Factors of 210?

Answer: Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. There are 16 integers that are factors of 210. The greatest factor of 210 is 210.

Answer:

Least Common Multiple of 202 and 210 = 21210

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 210

210 = 2 x 3 x 5 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 = 21210 = 2 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 202 and 210 is 21210.