LCM of 729, 216, 515, 808, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 216, 515, 808, 201 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 729, 216, 515, 808, 201. So, keep reading to learn more.
Given numbers are 729,216,515,808,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,216,515,808,201 is 20324549160.
Find LCM of 729,216,515,808,201 with Prime Factorization
| 2 | 729, 216, 515, 808, 201 |
| 2 | 729, 108, 515, 404, 201 |
| 2 | 729, 54, 515, 202, 201 |
| 3 | 729, 27, 515, 101, 201 |
| 3 | 243, 9, 515, 101, 67 |
| 3 | 81, 3, 515, 101, 67 |
| 27, 1, 515, 101, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 27 x 1 x 515 x 101 x 67 = 20324549160
Therefore, the lowest common multiple of 729,216,515,808,201 is 20324549160.
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.
729 x 216 x 515 x 808 x 201 = 13170307855680
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.
729 : 1, 3, 9, 27, 81, 243, 729
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
515 : 1, 5, 103, 515
808 : 1, 2, 4, 8, 101, 202, 404, 808
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,216,515,808,201, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
216:2x 2x 2x 3x 3x 3
515:5x 103
808:2x 2x 2x 101
201:3x 67
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 13170307855680/(1x648)
LCM = 13170307855680/648
LCM = 20324549160
Thus, we can understand that the LCM of 729,216,515,808,201 is 20324549160.
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FAQs on LCM of 729, 216, 515, 808, 201
1. What is the LCM of 729, 216, 515, 808, 201?
Answer: LCM of 729, 216, 515, 808, 201 is 20324549160.
2. How to calculate the LCM of 729, 216, 515, 808, 201?
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 729, 216, 515, 808, 201.
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}.