Given Numbers are 185, 190

We can find the LCM of 185, 190 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 185 and 190

Multiples of 185 =185,370,555,740,925,1110,1295,1480,1665,1850,2035,2220,2405,2590,2775,2960,3145,

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

Now, get the least common multiple of 185, 190 which is 7030

So, the LCM of 185, 190 is 7030.

One method for determining the LCM of 185 and 190 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 185's prime factorization:

Prime factors of 185 are 5,37.

185 = 5¹×37¹

And this is 190's prime factorization:

Prime factors of 190 are 2, 5,19.

190 = 2¹×5¹×19¹

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: 5,37, 2,19

2¹×5¹×19¹×37¹ = 7030

This shows that the LCM of 185 and 190 is 7030.

The first step in determining the Least Common Multiple of 185 and 190 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 185 and 190:

Lets look at the first ten multiples of these numbers, 185 and 190:

185,370,555,740,925,1110,1295,1480,1665,3145 are the first ten multiples of 185.

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

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 185 and 190, for example, are 2220, 3145, and 3040. 7030 is the least common multiple since it is the smallest.

185 and 190 have an LCM of 7030.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 185 and 190, than apply into the LCM equation.

GCF(185,190) = 5
LCM(185,190) = ( 185 × 190) / 5
LCM(185,190) = 35150 / 5
LCM(185,190) = 7030

1. What is the LCM of 185 and 190?

The LCM of 185 and 190 is 7030.

2. How to find the lowest common multiple of 185 and 190?

To find the lowest common multiple of 185 and 190, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7030.

3. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

4. 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.

Answer:

Least Common Multiple of 185 and 190 = 7030

Step 1: Find the prime factorization of 185

185 = 5 x 37

Step 2: Find the prime factorization of 190

190 = 2 x 5 x 19

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

LCM = 7030 = 2 x 5 x 19 x 37

Step 4: Therefore, the least common multiple of 185 and 190 is 7030.