LCM of 729, 729, 412, 548, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 729, 412, 548, 679 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, 412, 548, 679. So, keep reading to learn more.
Given numbers are 729,729,412,548,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,729,412,548,679 is 27939272004.
Find LCM of 729,729,412,548,679 with Prime Factorization
| 2 | 729, 729, 412, 548, 679 |
| 2 | 729, 729, 206, 274, 679 |
| 3 | 729, 729, 103, 137, 679 |
| 3 | 243, 243, 103, 137, 679 |
| 3 | 81, 81, 103, 137, 679 |
| 3 | 27, 27, 103, 137, 679 |
| 3 | 9, 9, 103, 137, 679 |
| 3 | 3, 3, 103, 137, 679 |
| 1, 1, 103, 137, 679 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 1 x 1 x 103 x 137 x 679 = 27939272004
Therefore, the lowest common multiple of 729,729,412,548,679 is 27939272004.
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 412 x 548 x 679 = 81470917163664
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
412 : 1, 2, 4, 103, 206, 412
548 : 1, 2, 4, 137, 274, 548
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,729,412,548,679, 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
412:2x 2x 103
548:2x 2x 137
679:7x 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 2x 3x 3x 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 81470917163664/(1x2916)
LCM = 81470917163664/2916
LCM = 27939272004
Thus, we can understand that the LCM of 729,729,412,548,679 is 27939272004.
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FAQs on LCM of 729, 729, 412, 548, 679
1. What is the LCM of 729, 729, 412, 548, 679?
Answer: LCM of 729, 729, 412, 548, 679 is 27939272004.
2. How to calculate the LCM of 729, 729, 412, 548, 679?
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, 412, 548, 679.
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}.