Given Numbers are 230, 236

We can find the LCM of 230, 236 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 230 and 236

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

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 230, 236 which is 27140

So, the LCM of 230, 236 is 27140.

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

Prime factors of 230 are 2, 5,23.

230 = 2¹×5¹×23¹

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: 2, 5,23,59

2²×5¹×23¹×59¹ = 27140

This shows that the LCM of 230 and 236 is 27140.

The first step in determining the Least Common Multiple of 230 and 236 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 230 and 236:

Lets look at the first ten multiples of these numbers, 230 and 236:

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

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 230 and 236, for example, are 2760, 3910, and 3776. 27140 is the least common multiple since it is the smallest.

230 and 236 have an LCM of 27140.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 230 and 236, than apply into the LCM equation.

GCF(230,236) = 2
LCM(230,236) = ( 230 × 236) / 2
LCM(230,236) = 54280 / 2
LCM(230,236) = 27140

1. What is the LCM of 230 and 236?

The LCM of 230 and 236 is 27140.

2. How to find the lowest common multiple of 230 and 236?

To find the lowest common multiple of 230 and 236, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27140.

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 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 230 and 236 = 27140

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

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 = 27140 = 2 x 2 x 5 x 23 x 59

Step 4: Therefore, the least common multiple of 230 and 236 is 27140.