LCM of 811, 494, 488, 702, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 494, 488, 702, 999 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 811, 494, 488, 702, 999. So, keep reading to learn more.
Given numbers are 811,494,488,702,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,494,488,702,999 is 97656941304.
Find LCM of 811,494,488,702,999 with Prime Factorization
| 2 | 811, 494, 488, 702, 999 |
| 3 | 811, 247, 244, 351, 999 |
| 3 | 811, 247, 244, 117, 333 |
| 3 | 811, 247, 244, 39, 111 |
| 13 | 811, 247, 244, 13, 37 |
| 811, 19, 244, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 811 x 19 x 244 x 1 x 37 = 97656941304
Therefore, the lowest common multiple of 811,494,488,702,999 is 97656941304.
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.
811 x 494 x 488 x 702 x 999 = 137110345590816
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.
811 : 1, 811
494 : 1, 2, 13, 19, 26, 38, 247, 494
488 : 1, 2, 4, 8, 61, 122, 244, 488
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,494,488,702,999, is 1.
Now, the common factors can be found like this.
811:811
494:2x 13x 19
488:2x 2x 2x 61
702:2x 3x 3x 3x 13
999:3x 3x 3x 37
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 13 = 1404
Therefore, the value for common factors is 1404.
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 = 137110345590816/(1x1404)
LCM = 137110345590816/1404
LCM = 97656941304
Thus, we can understand that the LCM of 811,494,488,702,999 is 97656941304.
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FAQs on LCM of 811, 494, 488, 702, 999
1. What is the LCM of 811, 494, 488, 702, 999?
Answer: LCM of 811, 494, 488, 702, 999 is 97656941304.
2. How to calculate the LCM of 811, 494, 488, 702, 999?
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 811, 494, 488, 702, 999.
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}.