Given Numbers are 194, 202

We can find the LCM of 194, 202 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 194 and 202

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

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

Now, get the least common multiple of 194, 202 which is 19594

So, the LCM of 194, 202 is 19594.

One method for determining the LCM of 194 and 202 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 202's prime factorization:

Prime factors of 202 are 2,101.

202 = 2¹×101¹

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: 2,97,101

2¹×97¹×101¹ = 19594

This shows that the LCM of 194 and 202 is 19594.

The first step in determining the Least Common Multiple of 194 and 202 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 194 and 202:

Lets look at the first ten multiples of these numbers, 194 and 202:

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

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

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 202, for example, are 2328, 3298, and 3232. 19594 is the least common multiple since it is the smallest.

194 and 202 have an LCM of 19594.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 194 and 202, than apply into the LCM equation.

GCF(194,202) = 2
LCM(194,202) = ( 194 × 202) / 2
LCM(194,202) = 39188 / 2
LCM(194,202) = 19594

1. What is the LCM of 194 and 202?

The LCM of 194 and 202 is 19594.

2. How to find the lowest common multiple of 194 and 202?

To find the lowest common multiple of 194 and 202, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19594.

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 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.

Answer:

Least Common Multiple of 194 and 202 = 19594

Step 1: Find the prime factorization of 194

194 = 2 x 97

Step 2: Find the prime factorization of 202

202 = 2 x 101

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

LCM = 19594 = 2 x 97 x 101

Step 4: Therefore, the least common multiple of 194 and 202 is 19594.