How to Find the LCM of 191 and 198?

LCM of 191 and 198

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

It is easy to find the LCM of 191 and 198 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 37818 as output. Here you can check the answer for Find the LCM of 191 and 198.

What is LCM of 191 and 198

Given Numbers are 191, 198

We can find the LCM of 191, 198 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 191 and 198

Multiples of 191 =191,382,573,764,955,1146,1337,1528,1719,1910,2101,2292,2483,2674,2865,3056,3247,

Multiples of 198 =198,396,594,792,990,1188,1386,1584,1782,1980,2178,2376,2574,2772,2970,3168,3366,

Now, get the least common multiple of 191, 198 which is 37818

So, the LCM of 191, 198 is 37818.

Least Common Multiple (LCM) of 191 and 198 with the help of Prime Factorisation

One method for determining the LCM of 191 and 198 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 191's prime factorization:

191	191
	1

Prime factors of 191 are 191.

191 = 191¹

And this is 198's prime factorization:

2	198
3	99
3	33
11	11
	1

Prime factors of 198 are 2, 3,11.

198 = 2¹×3²×11¹

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:191, 2, 3,11

2¹×3²×11¹×191¹ = 37818

This shows that the LCM of 191 and 198 is 37818.

How to Calculate the LCM of 191 and 198 Using Common Multiples

The first step in determining the Least Common Multiple of 191 and 198 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 191 and 198:

Lets look at the first ten multiples of these numbers, 191 and 198:

191,382,573,764,955,1146,1337,1528,1719,3247 are the first ten multiples of 191.

198,396,594,792,990,1188,1386,1584,1782,3366 are the first ten multiples of 198.

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 191 and 198, for example, are 2292, 3247, and 3168. 37818 is the least common multiple since it is the smallest.

191 and 198 have an LCM of 37818.

Least Common Multiple of 191 and 198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 191 and 198, than apply into the LCM equation.

GCF(191,198) = 1
LCM(191,198) = ( 191 × 198) / 1
LCM(191,198) = 37818 / 1
LCM(191,198) = 37818

Related Least Common Multiples of 191

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 191 and 198

1. What is the LCM of 191 and 198?

The LCM of 191 and 198 is 37818.

2. How to find the lowest common multiple of 191 and 198?

To find the lowest common multiple of 191 and 198, we have to get the multip;es of both numbers and identify the least common multiple in them which is 37818.

3. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

4. What are the Factors of 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.