Given Numbers are 231, 236

We can find the LCM of 231, 236 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 231 and 236

Multiples of 231 =231,462,693,924,1155,1386,1617,1848,2079,2310,2541,2772,3003,3234,3465,3696,3927,

Multiples of 236 =236,472,708,944,1180,1416,1652,1888,2124,2360,2596,2832,3068,3304,3540,3776,4012,

Now, get the least common multiple of 231, 236 which is 54516

So, the LCM of 231, 236 is 54516.

One method for determining the LCM of 231 and 236 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 231's prime factorization:

Prime factors of 231 are 3, 7,11.

231 = 3¹×7¹×11¹

And this is 236's prime factorization:

Prime factors of 236 are 2,59.

236 = 2²×59¹

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: 3, 7,11, 2,59

2²×3¹×7¹×11¹×59¹ = 54516

This shows that the LCM of 231 and 236 is 54516.

The first step in determining the Least Common Multiple of 231 and 236 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 231 and 236:

Lets look at the first ten multiples of these numbers, 231 and 236:

231,462,693,924,1155,1386,1617,1848,2079,3927 are the first ten multiples of 231.

236,472,708,944,1180,1416,1652,1888,2124,4012 are the first ten multiples of 236.

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 231 and 236, for example, are 2772, 3927, and 3776. 54516 is the least common multiple since it is the smallest.

231 and 236 have an LCM of 54516.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 236, than apply into the LCM equation.

GCF(231,236) = 1
LCM(231,236) = ( 231 × 236) / 1
LCM(231,236) = 54516 / 1
LCM(231,236) = 54516

1. What is the LCM of 231 and 236?

The LCM of 231 and 236 is 54516.

2. How to find the lowest common multiple of 231 and 236?

To find the lowest common multiple of 231 and 236, we have to get the multip;es of both numbers and identify the least common multiple in them which is 54516.

3. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

4. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

Answer:

Least Common Multiple of 231 and 236 = 54516

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 236

236 = 2 x 2 x 59

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

LCM = 54516 = 2 x 2 x 3 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 231 and 236 is 54516.