Find the LCM of 993, 990, 386, 273, 806 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 993, 990, 386, 273, 806. So, keep reading to learn more.
Given numbers are 993,990,386,273,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,990,386,273,806 is 178411803570.
Find LCM of 993,990,386,273,806 with Prime Factorization
2 | 993, 990, 386, 273, 806 |
3 | 993, 495, 193, 273, 403 |
13 | 331, 165, 193, 91, 403 |
331, 165, 193, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 331 x 165 x 193 x 7 x 31 = 178411803570
Therefore, the lowest common multiple of 993,990,386,273,806 is 178411803570.
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.
993 x 990 x 386 x 273 x 806 = 83496724070760
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.
993 : 1, 3, 331, 993
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
386 : 1, 2, 193, 386
273 : 1, 3, 7, 13, 21, 39, 91, 273
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,990,386,273,806, is 1.
Now, the common factors can be found like this.
993:3x 331
990:2x 3x 3x 5x 11
386:2x 193
273:3x 7x 13
806:2x 13x 31
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 83496724070760/(1x468)
LCM = 83496724070760/468
LCM = 178411803570
Thus, we can understand that the LCM of 993,990,386,273,806 is 178411803570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 990, 386, 273, 806?
Answer: LCM of 993, 990, 386, 273, 806 is 178411803570.
2. How to calculate the LCM of 993, 990, 386, 273, 806?
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 993, 990, 386, 273, 806.
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}.