Find the LCM of 819, 516, 793, 173, 388 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 819, 516, 793, 173, 388. So, keep reading to learn more.
Given numbers are 819,516,793,173,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,516,793,173,388 is 144198260388.
Find LCM of 819,516,793,173,388 with Prime Factorization
2 | 819, 516, 793, 173, 388 |
2 | 819, 258, 793, 173, 194 |
3 | 819, 129, 793, 173, 97 |
13 | 273, 43, 793, 173, 97 |
21, 43, 61, 173, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 21 x 43 x 61 x 173 x 97 = 144198260388
Therefore, the lowest common multiple of 819,516,793,173,388 is 144198260388.
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.
819 x 516 x 793 x 173 x 388 = 22494928620528
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
793 : 1, 13, 61, 793
173 : 1, 173
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,516,793,173,388, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
516:2x 2x 3x 43
793:13x 61
173:173
388:2x 2x 97
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 22494928620528/(1x156)
LCM = 22494928620528/156
LCM = 144198260388
Thus, we can understand that the LCM of 819,516,793,173,388 is 144198260388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 516, 793, 173, 388?
Answer: LCM of 819, 516, 793, 173, 388 is 144198260388.
2. How to calculate the LCM of 819, 516, 793, 173, 388?
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 819, 516, 793, 173, 388.
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}.