Find the LCM of 517, 988, 962, 407, 405 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 517, 988, 962, 407, 405. So, keep reading to learn more.
Given numbers are 517,988,962,407,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,988,962,407,405 is 7654278060.
Find LCM of 517,988,962,407,405 with Prime Factorization
2 | 517, 988, 962, 407, 405 |
11 | 517, 494, 481, 407, 405 |
13 | 47, 494, 481, 37, 405 |
37 | 47, 38, 37, 37, 405 |
47, 38, 1, 1, 405 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 37 x 47 x 38 x 1 x 1 x 405 = 7654278060
Therefore, the lowest common multiple of 517,988,962,407,405 is 7654278060.
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.
517 x 988 x 962 x 407 x 405 = 80997570430920
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.
517 : 1, 11, 47, 517
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
962 : 1, 2, 13, 26, 37, 74, 481, 962
407 : 1, 11, 37, 407
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,988,962,407,405, is 1.
Now, the common factors can be found like this.
517:11x 47
988:2x 2x 13x 19
962:2x 13x 37
407:11x 37
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 37 = 10582
Therefore, the value for common factors is 10582.
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 = 80997570430920/(1x10582)
LCM = 80997570430920/10582
LCM = 7654278060
Thus, we can understand that the LCM of 517,988,962,407,405 is 7654278060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 988, 962, 407, 405?
Answer: LCM of 517, 988, 962, 407, 405 is 7654278060.
2. How to calculate the LCM of 517, 988, 962, 407, 405?
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 517, 988, 962, 407, 405.
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}.