Find the LCM of 493, 335, 268, 864, 593 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 493, 335, 268, 864, 593. So, keep reading to learn more.
Given numbers are 493,335,268,864,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,335,268,864,593 is 84617494560.
Find LCM of 493,335,268,864,593 with Prime Factorization
2 | 493, 335, 268, 864, 593 |
2 | 493, 335, 134, 432, 593 |
67 | 493, 335, 67, 216, 593 |
493, 5, 1, 216, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 493 x 5 x 1 x 216 x 593 = 84617494560
Therefore, the lowest common multiple of 493,335,268,864,593 is 84617494560.
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.
493 x 335 x 268 x 864 x 593 = 22677488542080
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.
493 : 1, 17, 29, 493
335 : 1, 5, 67, 335
268 : 1, 2, 4, 67, 134, 268
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,335,268,864,593, is 1.
Now, the common factors can be found like this.
493:17x 29
335:5x 67
268:2x 2x 67
864:2x 2x 2x 2x 2x 3x 3x 3
593:593
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 67 = 268
Therefore, the value for common factors is 268.
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 = 22677488542080/(1x268)
LCM = 22677488542080/268
LCM = 84617494560
Thus, we can understand that the LCM of 493,335,268,864,593 is 84617494560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 335, 268, 864, 593?
Answer: LCM of 493, 335, 268, 864, 593 is 84617494560.
2. How to calculate the LCM of 493, 335, 268, 864, 593?
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 493, 335, 268, 864, 593.
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}.