Given Numbers are 230, 237

We can find the LCM of 230, 237 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 230 and 237

Multiples of 230 =230,460,690,920,1150,1380,1610,1840,2070,2300,2530,2760,2990,3220,3450,3680,3910,

Multiples of 237 =237,474,711,948,1185,1422,1659,1896,2133,2370,2607,2844,3081,3318,3555,3792,4029,

Now, get the least common multiple of 230, 237 which is 54510

So, the LCM of 230, 237 is 54510.

One method for determining the LCM of 230 and 237 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 230's prime factorization:

Prime factors of 230 are 2, 5,23.

230 = 2¹×5¹×23¹

And this is 237's prime factorization:

Prime factors of 237 are 3,79.

237 = 3¹×79¹

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, 5,23, 3,79

2¹×3¹×5¹×23¹×79¹ = 54510

This shows that the LCM of 230 and 237 is 54510.

The first step in determining the Least Common Multiple of 230 and 237 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 230 and 237:

Lets look at the first ten multiples of these numbers, 230 and 237:

230,460,690,920,1150,1380,1610,1840,2070,3910 are the first ten multiples of 230.

237,474,711,948,1185,1422,1659,1896,2133,4029 are the first ten multiples of 237.

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 230 and 237, for example, are 2760, 3910, and 3792. 54510 is the least common multiple since it is the smallest.

230 and 237 have an LCM of 54510.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 230 and 237, than apply into the LCM equation.

GCF(230,237) = 1
LCM(230,237) = ( 230 × 237) / 1
LCM(230,237) = 54510 / 1
LCM(230,237) = 54510

1. What is the LCM of 230 and 237?

The LCM of 230 and 237 is 54510.

2. How to find the lowest common multiple of 230 and 237?

To find the lowest common multiple of 230 and 237, we have to get the multip;es of both numbers and identify the least common multiple in them which is 54510.

3. What are the Factors of 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

Answer:

Least Common Multiple of 230 and 237 = 54510

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

Step 2: Find the prime factorization of 237

237 = 3 x 79

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

LCM = 54510 = 2 x 3 x 5 x 23 x 79

Step 4: Therefore, the least common multiple of 230 and 237 is 54510.