LCM of 729, 729, 689, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 729, 689, 637 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, 729, 689, 637. So, keep reading to learn more.
Given numbers are 729,729,689,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,729,689,637 is 24611769.
Find LCM of 729,729,689,637 with Prime Factorization
| 3 | 729, 729, 689, 637 |
| 3 | 243, 243, 689, 637 |
| 3 | 81, 81, 689, 637 |
| 3 | 27, 27, 689, 637 |
| 3 | 9, 9, 689, 637 |
| 3 | 3, 3, 689, 637 |
| 13 | 1, 1, 689, 637 |
| 1, 1, 53, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 3 x 3 x 13 x 1 x 1 x 53 x 49 = 24611769
Therefore, the lowest common multiple of 729,729,689,637 is 24611769.
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 729 x 689 x 637 = 233245734813
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
729 : 1, 3, 9, 27, 81, 243, 729
689 : 1, 13, 53, 689
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,729,689,637, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
689:13x 53
637:7x 7x 13
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 13 = 9477
Therefore, the value for common factors is 9477.
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 = 233245734813/(1x9477)
LCM = 233245734813/9477
LCM = 24611769
Thus, we can understand that the LCM of 729,729,689,637 is 24611769.
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FAQs on LCM of 729, 729, 689, 637
1. What is the LCM of 729, 729, 689, 637?
Answer: LCM of 729, 729, 689, 637 is 24611769.
2. How to calculate the LCM of 729, 729, 689, 637?
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, 729, 689, 637.
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}.