Find the LCM of 729, 909, 837, 717, 207 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, 909, 837, 717, 207. So, keep reading to learn more.
Given numbers are 729,909,837,717,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,909,837,717,207 is 12546897003.
Find LCM of 729,909,837,717,207 with Prime Factorization
3 | 729, 909, 837, 717, 207 |
3 | 243, 303, 279, 239, 69 |
3 | 81, 101, 93, 239, 23 |
27, 101, 31, 239, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 27 x 101 x 31 x 239 x 23 = 12546897003
Therefore, the lowest common multiple of 729,909,837,717,207 is 12546897003.
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 909 x 837 x 717 x 207 = 82320191236683
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
909 : 1, 3, 9, 101, 303, 909
837 : 1, 3, 9, 27, 31, 93, 279, 837
717 : 1, 3, 239, 717
207 : 1, 3, 9, 23, 69, 207
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,909,837,717,207, is 3.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
909:3x 3x 101
837:3x 3x 3x 31
717:3x 239
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 3 = 2187
Therefore, the value for common factors is 2187.
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 = 82320191236683/(3x2187)
LCM = 82320191236683/6561
LCM = 12546897003
Thus, we can understand that the LCM of 729,909,837,717,207 is 12546897003.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 909, 837, 717, 207?
Answer: LCM of 729, 909, 837, 717, 207 is 12546897003.
2. How to calculate the LCM of 729, 909, 837, 717, 207?
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, 909, 837, 717, 207.
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}.