Find the LCM of 819, 215, 566, 860, 138 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, 215, 566, 860, 138. So, keep reading to learn more.
Given numbers are 819,215,566,860,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,215,566,860,138 is 4584549060.
Find LCM of 819,215,566,860,138 with Prime Factorization
2 | 819, 215, 566, 860, 138 |
3 | 819, 215, 283, 430, 69 |
5 | 273, 215, 283, 430, 23 |
43 | 273, 43, 283, 86, 23 |
273, 1, 283, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 273 x 1 x 283 x 2 x 23 = 4584549060
Therefore, the lowest common multiple of 819,215,566,860,138 is 4584549060.
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 215 x 566 x 860 x 138 = 11828136574800
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
215 : 1, 5, 43, 215
566 : 1, 2, 283, 566
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,215,566,860,138, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
215:5x 43
566:2x 283
860:2x 2x 5x 43
138:2x 3x 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 3x 5x 43 = 2580
Therefore, the value for common factors is 2580.
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 = 11828136574800/(1x2580)
LCM = 11828136574800/2580
LCM = 4584549060
Thus, we can understand that the LCM of 819,215,566,860,138 is 4584549060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 215, 566, 860, 138?
Answer: LCM of 819, 215, 566, 860, 138 is 4584549060.
2. How to calculate the LCM of 819, 215, 566, 860, 138?
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, 215, 566, 860, 138.
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}.