Find the LCM of 459, 583, 517, 966, 797 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 459, 583, 517, 966, 797. So, keep reading to learn more.
Given numbers are 459,583,517,966,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,583,517,966,797 is 3227700959406.
Find LCM of 459,583,517,966,797 with Prime Factorization
3 | 459, 583, 517, 966, 797 |
11 | 153, 583, 517, 322, 797 |
153, 53, 47, 322, 797 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 153 x 53 x 47 x 322 x 797 = 3227700959406
Therefore, the lowest common multiple of 459,583,517,966,797 is 3227700959406.
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.
459 x 583 x 517 x 966 x 797 = 106514131660398
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
583 : 1, 11, 53, 583
517 : 1, 11, 47, 517
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,583,517,966,797, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
583:11x 53
517:11x 47
966:2x 3x 7x 23
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 106514131660398/(1x33)
LCM = 106514131660398/33
LCM = 3227700959406
Thus, we can understand that the LCM of 459,583,517,966,797 is 3227700959406.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 583, 517, 966, 797?
Answer: LCM of 459, 583, 517, 966, 797 is 3227700959406.
2. How to calculate the LCM of 459, 583, 517, 966, 797?
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 459, 583, 517, 966, 797.
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}.