Find the LCM of 729, 935, 374, 731, 830 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, 935, 374, 731, 830. So, keep reading to learn more.
Given numbers are 729,935,374,731,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,935,374,731,830 is 4865367870.
Find LCM of 729,935,374,731,830 with Prime Factorization
2 | 729, 935, 374, 731, 830 |
5 | 729, 935, 187, 731, 415 |
11 | 729, 187, 187, 731, 83 |
17 | 729, 17, 17, 731, 83 |
729, 1, 1, 43, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 729 x 1 x 1 x 43 x 83 = 4865367870
Therefore, the lowest common multiple of 729,935,374,731,830 is 4865367870.
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 935 x 374 x 731 x 830 = 154670044587300
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
374 : 1, 2, 11, 17, 22, 34, 187, 374
731 : 1, 17, 43, 731
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,935,374,731,830, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
935:5x 11x 17
374:2x 11x 17
731:17x 43
830:2x 5x 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 5x 11x 17x 17 = 31790
Therefore, the value for common factors is 31790.
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 = 154670044587300/(1x31790)
LCM = 154670044587300/31790
LCM = 4865367870
Thus, we can understand that the LCM of 729,935,374,731,830 is 4865367870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 935, 374, 731, 830?
Answer: LCM of 729, 935, 374, 731, 830 is 4865367870.
2. How to calculate the LCM of 729, 935, 374, 731, 830?
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, 935, 374, 731, 830.
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}.