LCM of 517, 727, 441, 816, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 727, 441, 816, 896 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, 727, 441, 816, 896. So, keep reading to learn more.
Given numbers are 517,727,441,816,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,727,441,816,896 is 360680310144.
Find LCM of 517,727,441,816,896 with Prime Factorization
| 2 | 517, 727, 441, 816, 896 |
| 2 | 517, 727, 441, 408, 448 |
| 2 | 517, 727, 441, 204, 224 |
| 2 | 517, 727, 441, 102, 112 |
| 3 | 517, 727, 441, 51, 56 |
| 7 | 517, 727, 147, 17, 56 |
| 517, 727, 21, 17, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 517 x 727 x 21 x 17 x 8 = 360680310144
Therefore, the lowest common multiple of 517,727,441,816,896 is 360680310144.
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 727 x 441 x 816 x 896 = 121188584208384
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
727 : 1, 727
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,727,441,816,896, is 1.
Now, the common factors can be found like this.
517:11x 47
727:727
441:3x 3x 7x 7
816:2x 2x 2x 2x 3x 17
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 121188584208384/(1x336)
LCM = 121188584208384/336
LCM = 360680310144
Thus, we can understand that the LCM of 517,727,441,816,896 is 360680310144.
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FAQs on LCM of 517, 727, 441, 816, 896
1. What is the LCM of 517, 727, 441, 816, 896?
Answer: LCM of 517, 727, 441, 816, 896 is 360680310144.
2. How to calculate the LCM of 517, 727, 441, 816, 896?
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, 727, 441, 816, 896.
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}.