Find the LCM of 729, 512, 695, 671, 684 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, 512, 695, 671, 684. So, keep reading to learn more.
Given numbers are 729,512,695,671,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,512,695,671,684 is 3307184432640.
Find LCM of 729,512,695,671,684 with Prime Factorization
2 | 729, 512, 695, 671, 684 |
2 | 729, 256, 695, 671, 342 |
3 | 729, 128, 695, 671, 171 |
3 | 243, 128, 695, 671, 57 |
81, 128, 695, 671, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 81 x 128 x 695 x 671 x 19 = 3307184432640
Therefore, the lowest common multiple of 729,512,695,671,684 is 3307184432640.
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 512 x 695 x 671 x 684 = 119058639575040
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
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
695 : 1, 5, 139, 695
671 : 1, 11, 61, 671
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,512,695,671,684, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
512:2x 2x 2x 2x 2x 2x 2x 2x 2
695:5x 139
671:11x 61
684:2x 2x 3x 3x 19
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 119058639575040/(1x36)
LCM = 119058639575040/36
LCM = 3307184432640
Thus, we can understand that the LCM of 729,512,695,671,684 is 3307184432640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 512, 695, 671, 684?
Answer: LCM of 729, 512, 695, 671, 684 is 3307184432640.
2. How to calculate the LCM of 729, 512, 695, 671, 684?
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, 512, 695, 671, 684.
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}.