LCM of 459, 216, 721, 768, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 216, 721, 768, 505 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 459, 216, 721, 768, 505. So, keep reading to learn more.
Given numbers are 459,216,721,768,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,216,721,768,505 is 42783793920.
Find LCM of 459,216,721,768,505 with Prime Factorization
| 2 | 459, 216, 721, 768, 505 |
| 2 | 459, 108, 721, 384, 505 |
| 2 | 459, 54, 721, 192, 505 |
| 3 | 459, 27, 721, 96, 505 |
| 3 | 153, 9, 721, 32, 505 |
| 3 | 51, 3, 721, 32, 505 |
| 17, 1, 721, 32, 505 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 17 x 1 x 721 x 32 x 505 = 42783793920
Therefore, the lowest common multiple of 459,216,721,768,505 is 42783793920.
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.
459 x 216 x 721 x 768 x 505 = 27723898460160
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
721 : 1, 7, 103, 721
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,216,721,768,505, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
216:2x 2x 2x 3x 3x 3
721:7x 103
768:2x 2x 2x 2x 2x 2x 2x 2x 3
505:5x 101
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 27723898460160/(1x648)
LCM = 27723898460160/648
LCM = 42783793920
Thus, we can understand that the LCM of 459,216,721,768,505 is 42783793920.
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FAQs on LCM of 459, 216, 721, 768, 505
1. What is the LCM of 459, 216, 721, 768, 505?
Answer: LCM of 459, 216, 721, 768, 505 is 42783793920.
2. How to calculate the LCM of 459, 216, 721, 768, 505?
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 459, 216, 721, 768, 505.
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}.