Find the LCM of 508, 792, 715, 832, 289 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 508, 792, 715, 832, 289. So, keep reading to learn more.
Given numbers are 508,792,715,832,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,792,715,832,289 is 15115763520.
Find LCM of 508,792,715,832,289 with Prime Factorization
2 | 508, 792, 715, 832, 289 |
2 | 254, 396, 715, 416, 289 |
2 | 127, 198, 715, 208, 289 |
11 | 127, 99, 715, 104, 289 |
13 | 127, 9, 65, 104, 289 |
127, 9, 5, 8, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 13 x 127 x 9 x 5 x 8 x 289 = 15115763520
Therefore, the lowest common multiple of 508,792,715,832,289 is 15115763520.
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.
508 x 792 x 715 x 832 x 289 = 69169733867520
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.
508 : 1, 2, 4, 127, 254, 508
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,792,715,832,289, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
792:2x 2x 2x 3x 3x 11
715:5x 11x 13
832:2x 2x 2x 2x 2x 2x 13
289:17x 17
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 2x 2x 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 69169733867520/(1x4576)
LCM = 69169733867520/4576
LCM = 15115763520
Thus, we can understand that the LCM of 508,792,715,832,289 is 15115763520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 792, 715, 832, 289?
Answer: LCM of 508, 792, 715, 832, 289 is 15115763520.
2. How to calculate the LCM of 508, 792, 715, 832, 289?
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 508, 792, 715, 832, 289.
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}.