Find the LCM of 388, 872, 299, 793, 230 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 388, 872, 299, 793, 230. So, keep reading to learn more.
Given numbers are 388,872,299,793,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,872,299,793,230 is 7713637880.
Find LCM of 388,872,299,793,230 with Prime Factorization
2 | 388, 872, 299, 793, 230 |
2 | 194, 436, 299, 793, 115 |
13 | 97, 218, 299, 793, 115 |
23 | 97, 218, 23, 61, 115 |
97, 218, 1, 61, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 97 x 218 x 1 x 61 x 5 = 7713637880
Therefore, the lowest common multiple of 388,872,299,793,230 is 7713637880.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
388 x 872 x 299 x 793 x 230 = 18451021808960
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
388 : 1, 2, 4, 97, 194, 388
872 : 1, 2, 4, 8, 109, 218, 436, 872
299 : 1, 13, 23, 299
793 : 1, 13, 61, 793
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,872,299,793,230, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
872:2x 2x 2x 109
299:13x 23
793:13x 61
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13x 23 = 2392
Therefore, the value for common factors is 2392.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 18451021808960/(1x2392)
LCM = 18451021808960/2392
LCM = 7713637880
Thus, we can understand that the LCM of 388,872,299,793,230 is 7713637880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 872, 299, 793, 230?
Answer: LCM of 388, 872, 299, 793, 230 is 7713637880.
2. How to calculate the LCM of 388, 872, 299, 793, 230?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 388, 872, 299, 793, 230.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.