Find the LCM of 729, 459, 306, 954, 873 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, 459, 306, 954, 873. So, keep reading to learn more.
Given numbers are 729,459,306,954,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,459,306,954,873 is 127424826.
Find LCM of 729,459,306,954,873 with Prime Factorization
2 | 729, 459, 306, 954, 873 |
3 | 729, 459, 153, 477, 873 |
3 | 243, 51, 153, 159, 291 |
3 | 81, 17, 51, 53, 97 |
17 | 27, 17, 17, 53, 97 |
27, 1, 1, 53, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 27 x 1 x 1 x 53 x 97 = 127424826
Therefore, the lowest common multiple of 729,459,306,954,873 is 127424826.
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 459 x 306 x 954 x 873 = 85275496905372
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
873 : 1, 3, 9, 97, 291, 873
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,459,306,954,873, is 9.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
459:3x 3x 3x 17
306:2x 3x 3x 17
954:2x 3x 3x 53
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3x 3x 17 = 74358
Therefore, the value for common factors is 74358.
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 = 85275496905372/(9x74358)
LCM = 85275496905372/669222
LCM = 127424826
Thus, we can understand that the LCM of 729,459,306,954,873 is 127424826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 459, 306, 954, 873?
Answer: LCM of 729, 459, 306, 954, 873 is 127424826.
2. How to calculate the LCM of 729, 459, 306, 954, 873?
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, 459, 306, 954, 873.
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}.