Find the LCM of 864, 231, 671, 729, 384 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 864, 231, 671, 729, 384. So, keep reading to learn more.
Given numbers are 864,231,671,729,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,231,671,729,384 is 438286464.
Find LCM of 864,231,671,729,384 with Prime Factorization
2 | 864, 231, 671, 729, 384 |
2 | 432, 231, 671, 729, 192 |
2 | 216, 231, 671, 729, 96 |
2 | 108, 231, 671, 729, 48 |
2 | 54, 231, 671, 729, 24 |
3 | 27, 231, 671, 729, 12 |
3 | 9, 77, 671, 243, 4 |
3 | 3, 77, 671, 81, 4 |
11 | 1, 77, 671, 27, 4 |
1, 7, 61, 27, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 1 x 7 x 61 x 27 x 4 = 438286464
Therefore, the lowest common multiple of 864,231,671,729,384 is 438286464.
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.
864 x 231 x 671 x 729 x 384 = 37489270984704
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
231 : 1, 3, 7, 11, 21, 33, 77, 231
671 : 1, 11, 61, 671
729 : 1, 3, 9, 27, 81, 243, 729
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,231,671,729,384, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
231:3x 7x 11
671:11x 61
729:3x 3x 3x 3x 3x 3
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 3x 3x 3x 3x 11 = 85536
Therefore, the value for common factors is 85536.
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 = 37489270984704/(1x85536)
LCM = 37489270984704/85536
LCM = 438286464
Thus, we can understand that the LCM of 864,231,671,729,384 is 438286464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 231, 671, 729, 384?
Answer: LCM of 864, 231, 671, 729, 384 is 438286464.
2. How to calculate the LCM of 864, 231, 671, 729, 384?
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 864, 231, 671, 729, 384.
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}.