LCM of 963, 996, 405, 444, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 996, 405, 444, 913 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 963, 996, 405, 444, 913. So, keep reading to learn more.
Given numbers are 963,996,405,444,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,996,405,444,913 is 5855598540.
Find LCM of 963,996,405,444,913 with Prime Factorization
| 2 | 963, 996, 405, 444, 913 |
| 2 | 963, 498, 405, 222, 913 |
| 3 | 963, 249, 405, 111, 913 |
| 3 | 321, 83, 135, 37, 913 |
| 83 | 107, 83, 45, 37, 913 |
| 107, 1, 45, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 83 x 107 x 1 x 45 x 37 x 11 = 5855598540
Therefore, the lowest common multiple of 963,996,405,444,913 is 5855598540.
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.
963 x 996 x 405 x 444 x 913 = 157468755937680
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.
963 : 1, 3, 9, 107, 321, 963
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,996,405,444,913, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
996:2x 2x 3x 83
405:3x 3x 3x 3x 5
444:2x 2x 3x 37
913:11x 83
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 3x 3x 3x 3x 83 = 26892
Therefore, the value for common factors is 26892.
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 = 157468755937680/(1x26892)
LCM = 157468755937680/26892
LCM = 5855598540
Thus, we can understand that the LCM of 963,996,405,444,913 is 5855598540.
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FAQs on LCM of 963, 996, 405, 444, 913
1. What is the LCM of 963, 996, 405, 444, 913?
Answer: LCM of 963, 996, 405, 444, 913 is 5855598540.
2. How to calculate the LCM of 963, 996, 405, 444, 913?
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 963, 996, 405, 444, 913.
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}.