LCM of 816, 344, 799, 897, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 344, 799, 897, 495 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 816, 344, 799, 897, 495. So, keep reading to learn more.
Given numbers are 816,344,799,897,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,344,799,897,495 is 81360124560.
Find LCM of 816,344,799,897,495 with Prime Factorization
| 2 | 816, 344, 799, 897, 495 |
| 2 | 408, 172, 799, 897, 495 |
| 2 | 204, 86, 799, 897, 495 |
| 3 | 102, 43, 799, 897, 495 |
| 17 | 34, 43, 799, 299, 165 |
| 2, 43, 47, 299, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 2 x 43 x 47 x 299 x 165 = 81360124560
Therefore, the lowest common multiple of 816,344,799,897,495 is 81360124560.
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.
816 x 344 x 799 x 897 x 495 = 99584792461440
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
344 : 1, 2, 4, 8, 43, 86, 172, 344
799 : 1, 17, 47, 799
897 : 1, 3, 13, 23, 39, 69, 299, 897
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,344,799,897,495, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
344:2x 2x 2x 43
799:17x 47
897:3x 13x 23
495:3x 3x 5x 11
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 17 = 1224
Therefore, the value for common factors is 1224.
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 = 99584792461440/(1x1224)
LCM = 99584792461440/1224
LCM = 81360124560
Thus, we can understand that the LCM of 816,344,799,897,495 is 81360124560.
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FAQs on LCM of 816, 344, 799, 897, 495
1. What is the LCM of 816, 344, 799, 897, 495?
Answer: LCM of 816, 344, 799, 897, 495 is 81360124560.
2. How to calculate the LCM of 816, 344, 799, 897, 495?
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 816, 344, 799, 897, 495.
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}.