LCM of 729, 280, 882, 667, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 280, 882, 667, 960 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, 280, 882, 667, 960. So, keep reading to learn more.
Given numbers are 729,280,882,667,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,280,882,667,960 is 7624290240.
Find LCM of 729,280,882,667,960 with Prime Factorization
| 2 | 729, 280, 882, 667, 960 |
| 2 | 729, 140, 441, 667, 480 |
| 2 | 729, 70, 441, 667, 240 |
| 3 | 729, 35, 441, 667, 120 |
| 3 | 243, 35, 147, 667, 40 |
| 5 | 81, 35, 49, 667, 40 |
| 7 | 81, 7, 49, 667, 8 |
| 81, 1, 7, 667, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 81 x 1 x 7 x 667 x 8 = 7624290240
Therefore, the lowest common multiple of 729,280,882,667,960 is 7624290240.
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 280 x 882 x 667 x 960 = 115279268428800
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
667 : 1, 23, 29, 667
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,280,882,667,960, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
280:2x 2x 2x 5x 7
882:2x 3x 3x 7x 7
667:23x 29
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 3x 5x 7 = 15120
Therefore, the value for common factors is 15120.
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 = 115279268428800/(1x15120)
LCM = 115279268428800/15120
LCM = 7624290240
Thus, we can understand that the LCM of 729,280,882,667,960 is 7624290240.
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FAQs on LCM of 729, 280, 882, 667, 960
1. What is the LCM of 729, 280, 882, 667, 960?
Answer: LCM of 729, 280, 882, 667, 960 is 7624290240.
2. How to calculate the LCM of 729, 280, 882, 667, 960?
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, 280, 882, 667, 960.
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}.