Find the LCM of 592, 454, 814, 518, 455 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 592, 454, 814, 518, 455. So, keep reading to learn more.
Given numbers are 592,454,814,518,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,454,814,518,455 is 672591920.
Find LCM of 592,454,814,518,455 with Prime Factorization
2 | 592, 454, 814, 518, 455 |
7 | 296, 227, 407, 259, 455 |
37 | 296, 227, 407, 37, 65 |
8, 227, 11, 1, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 8 x 227 x 11 x 1 x 65 = 672591920
Therefore, the lowest common multiple of 592,454,814,518,455 is 672591920.
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.
592 x 454 x 814 x 518 x 455 = 51563586954880
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
454 : 1, 2, 227, 454
814 : 1, 2, 11, 22, 37, 74, 407, 814
518 : 1, 2, 7, 14, 37, 74, 259, 518
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,454,814,518,455, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
454:2x 227
814:2x 11x 37
518:2x 7x 37
455:5x 7x 13
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 7x 37x 37 = 76664
Therefore, the value for common factors is 76664.
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 = 51563586954880/(1x76664)
LCM = 51563586954880/76664
LCM = 672591920
Thus, we can understand that the LCM of 592,454,814,518,455 is 672591920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 454, 814, 518, 455?
Answer: LCM of 592, 454, 814, 518, 455 is 672591920.
2. How to calculate the LCM of 592, 454, 814, 518, 455?
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 592, 454, 814, 518, 455.
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}.