Find the LCM of 285, 710, 794, 106, 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 285, 710, 794, 106, 593. So, keep reading to learn more.
Given numbers are 285,710,794,106,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,710,794,106,593 is 504956857110.
Find LCM of 285,710,794,106,593 with Prime Factorization
2 | 285, 710, 794, 106, 593 |
5 | 285, 355, 397, 53, 593 |
57, 71, 397, 53, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 57 x 71 x 397 x 53 x 593 = 504956857110
Therefore, the lowest common multiple of 285,710,794,106,593 is 504956857110.
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.
285 x 710 x 794 x 106 x 593 = 10099137142200
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
710 : 1, 2, 5, 10, 71, 142, 355, 710
794 : 1, 2, 397, 794
106 : 1, 2, 53, 106
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,710,794,106,593, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
710:2x 5x 71
794:2x 397
106:2x 53
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 5 = 20
Therefore, the value for common factors is 20.
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 = 10099137142200/(1x20)
LCM = 10099137142200/20
LCM = 504956857110
Thus, we can understand that the LCM of 285,710,794,106,593 is 504956857110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 710, 794, 106, 593?
Answer: LCM of 285, 710, 794, 106, 593 is 504956857110.
2. How to calculate the LCM of 285, 710, 794, 106, 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 285, 710, 794, 106, 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}.