It is easy to find the LCM of 230 and 234 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 26910 as output. Here you can check the answer for Find the LCM of 230 and 234.
Given Numbers are 230, 234
We can find the LCM of 230, 234 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 230 and 234
Multiples of 230 =230,460,690,920,1150,1380,1610,1840,2070,2300,2530,2760,2990,3220,3450,3680,3910,
Multiples of 234 =234,468,702,936,1170,1404,1638,1872,2106,2340,2574,2808,3042,3276,3510,3744,3978,
Now, get the least common multiple of 230, 234 which is 26910
So, the LCM of 230, 234 is 26910.
One method for determining the LCM of 230 and 234 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:2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 230 are 2, 5,23.
230 = 21×51×231
And this is 234's prime factorization:
2 | 234 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 234 are 2, 3,13.
234 = 21×32×131
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, 3,13
.21×32×51×131×231 = 26910
This shows that the LCM of 230 and 234 is 26910.
The first step in determining the Least Common Multiple of 230 and 234 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 230 and 234:
Lets look at the first ten multiples of these numbers, 230 and 234:
230,460,690,920,1150,1380,1610,1840,2070,3910 are the first ten multiples of 230.
234,468,702,936,1170,1404,1638,1872,2106,3978 are the first ten multiples of 234.
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 234, for example, are 2760, 3910, and 3744. 26910 is the least common multiple since it is the smallest.
230 and 234 have an LCM of 26910.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 230 and 234, than apply into the LCM equation.
GCF(230,234) = 2
LCM(230,234) = ( 230 × 234) / 2
LCM(230,234) = 53820 / 2
LCM(230,234) = 26910
1. What is the LCM of 230 and 234?
The LCM of 230 and 234 is 26910.
2. How to find the lowest common multiple of 230 and 234?
To find the lowest common multiple of 230 and 234, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26910.
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 234?
Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.
5. How to Find the LCM of 230 and 234?Answer:
Least Common Multiple of 230 and 234 = 26910
Step 1: Find the prime factorization of 230
230 = 2 x 5 x 23
Step 2: Find the prime factorization of 234
234 = 2 x 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26910 = 2 x 3 x 3 x 5 x 13 x 23
Step 4: Therefore, the least common multiple of 230 and 234 is 26910.