Given Numbers are 190, 197

We can find the LCM of 190, 197 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 190 and 197

Multiples of 190 =190,380,570,760,950,1140,1330,1520,1710,1900,2090,2280,2470,2660,2850,3040,3230,

Multiples of 197 =197,394,591,788,985,1182,1379,1576,1773,1970,2167,2364,2561,2758,2955,3152,3349,

Now, get the least common multiple of 190, 197 which is 37430

So, the LCM of 190, 197 is 37430.

One method for determining the LCM of 190 and 197 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 190's prime factorization:

Prime factors of 190 are 2, 5,19.

190 = 2¹×5¹×19¹

And this is 197's prime factorization:

Prime factors of 197 are 197.

197 = 197¹

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, 5,19,197

2¹×5¹×19¹×197¹ = 37430

This shows that the LCM of 190 and 197 is 37430.

The first step in determining the Least Common Multiple of 190 and 197 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 190 and 197:

Lets look at the first ten multiples of these numbers, 190 and 197:

190,380,570,760,950,1140,1330,1520,1710,3230 are the first ten multiples of 190.

197,394,591,788,985,1182,1379,1576,1773,3349 are the first ten multiples of 197.

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 190 and 197, for example, are 2280, 3230, and 3152. 37430 is the least common multiple since it is the smallest.

190 and 197 have an LCM of 37430.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 190 and 197, than apply into the LCM equation.

GCF(190,197) = 1
LCM(190,197) = ( 190 × 197) / 1
LCM(190,197) = 37430 / 1
LCM(190,197) = 37430

1. What is the LCM of 190 and 197?

The LCM of 190 and 197 is 37430.

2. How to find the lowest common multiple of 190 and 197?

To find the lowest common multiple of 190 and 197, we have to get the multip;es of both numbers and identify the least common multiple in them which is 37430.

3. What are the Factors of 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

4. What are the Factors of 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

Answer:

Least Common Multiple of 190 and 197 = 37430

Step 1: Find the prime factorization of 190

190 = 2 x 5 x 19

Step 2: Find the prime factorization of 197

197 = 197

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

LCM = 37430 = 2 x 5 x 19 x 197

Step 4: Therefore, the least common multiple of 190 and 197 is 37430.