Find the LCM of 819, 400, 715, 792, 849 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, 400, 715, 792, 849. So, keep reading to learn more.
Given numbers are 819,400,715,792,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,400,715,792,849 is 1019818800.
Find LCM of 819,400,715,792,849 with Prime Factorization
2 | 819, 400, 715, 792, 849 |
2 | 819, 200, 715, 396, 849 |
2 | 819, 100, 715, 198, 849 |
3 | 819, 50, 715, 99, 849 |
3 | 273, 50, 715, 33, 283 |
5 | 91, 50, 715, 11, 283 |
11 | 91, 10, 143, 11, 283 |
13 | 91, 10, 13, 1, 283 |
7, 10, 1, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 7 x 10 x 1 x 1 x 283 = 1019818800
Therefore, the lowest common multiple of 819,400,715,792,849 is 1019818800.
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 400 x 715 x 792 x 849 = 157500815472000
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
715 : 1, 5, 11, 13, 55, 65, 143, 715
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,400,715,792,849, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
400:2x 2x 2x 2x 5x 5
715:5x 11x 13
792:2x 2x 2x 3x 3x 11
849:3x 283
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 3x 3x 3x 5x 11x 13 = 154440
Therefore, the value for common factors is 154440.
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 = 157500815472000/(1x154440)
LCM = 157500815472000/154440
LCM = 1019818800
Thus, we can understand that the LCM of 819,400,715,792,849 is 1019818800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 400, 715, 792, 849?
Answer: LCM of 819, 400, 715, 792, 849 is 1019818800.
2. How to calculate the LCM of 819, 400, 715, 792, 849?
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, 400, 715, 792, 849.
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}.