LCM of 416, 499, 914, 648, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 499, 914, 648, 481 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 416, 499, 914, 648, 481. So, keep reading to learn more.
Given numbers are 416,499,914,648,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,499,914,648,481 is 284313066336.
Find LCM of 416,499,914,648,481 with Prime Factorization
| 2 | 416, 499, 914, 648, 481 |
| 2 | 208, 499, 457, 324, 481 |
| 2 | 104, 499, 457, 162, 481 |
| 13 | 52, 499, 457, 81, 481 |
| 4, 499, 457, 81, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 4 x 499 x 457 x 81 x 37 = 284313066336
Therefore, the lowest common multiple of 416,499,914,648,481 is 284313066336.
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.
416 x 499 x 914 x 648 x 481 = 59137117797888
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
499 : 1, 499
914 : 1, 2, 457, 914
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,499,914,648,481, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
499:499
914:2x 457
648:2x 2x 2x 3x 3x 3x 3
481:13x 37
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 13 = 208
Therefore, the value for common factors is 208.
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 = 59137117797888/(1x208)
LCM = 59137117797888/208
LCM = 284313066336
Thus, we can understand that the LCM of 416,499,914,648,481 is 284313066336.
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FAQs on LCM of 416, 499, 914, 648, 481
1. What is the LCM of 416, 499, 914, 648, 481?
Answer: LCM of 416, 499, 914, 648, 481 is 284313066336.
2. How to calculate the LCM of 416, 499, 914, 648, 481?
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 416, 499, 914, 648, 481.
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}.