Find the LCM of 992, 413, 856, 961, 601 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 992, 413, 856, 961, 601. So, keep reading to learn more.
Given numbers are 992,413,856,961,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,413,856,961,601 is 816735940832.
Find LCM of 992,413,856,961,601 with Prime Factorization
2 | 992, 413, 856, 961, 601 |
2 | 496, 413, 428, 961, 601 |
2 | 248, 413, 214, 961, 601 |
31 | 124, 413, 107, 961, 601 |
4, 413, 107, 31, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 4 x 413 x 107 x 31 x 601 = 816735940832
Therefore, the lowest common multiple of 992,413,856,961,601 is 816735940832.
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.
992 x 413 x 856 x 961 x 601 = 202550513326336
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
413 : 1, 7, 59, 413
856 : 1, 2, 4, 8, 107, 214, 428, 856
961 : 1, 31, 961
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,413,856,961,601, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
413:7x 59
856:2x 2x 2x 107
961:31x 31
601:601
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 31 = 248
Therefore, the value for common factors is 248.
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 = 202550513326336/(1x248)
LCM = 202550513326336/248
LCM = 816735940832
Thus, we can understand that the LCM of 992,413,856,961,601 is 816735940832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 413, 856, 961, 601?
Answer: LCM of 992, 413, 856, 961, 601 is 816735940832.
2. How to calculate the LCM of 992, 413, 856, 961, 601?
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 992, 413, 856, 961, 601.
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}.