Find the LCM of 904, 212, 212, 717 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 904, 212, 212, 717. So, keep reading to learn more.
Given numbers are 904,212,212,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,212,212,717 is 34352904.
Find LCM of 904,212,212,717 with Prime Factorization
2 | 904, 212, 212, 717 |
2 | 452, 106, 106, 717 |
53 | 226, 53, 53, 717 |
226, 1, 1, 717 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 226 x 1 x 1 x 717 = 34352904
Therefore, the lowest common multiple of 904,212,212,717 is 34352904.
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.
904 x 212 x 212 x 717 = 29131262592
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
212 : 1, 2, 4, 53, 106, 212
212 : 1, 2, 4, 53, 106, 212
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,212,212,717, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
212:2x 2x 53
212:2x 2x 53
717:3x 239
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 53 = 848
Therefore, the value for common factors is 848.
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 = 29131262592/(1x848)
LCM = 29131262592/848
LCM = 34352904
Thus, we can understand that the LCM of 904,212,212,717 is 34352904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 212, 212, 717?
Answer: LCM of 904, 212, 212, 717 is 34352904.
2. How to calculate the LCM of 904, 212, 212, 717?
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 904, 212, 212, 717.
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}.