LCM of 797, 590, 693, 217, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 590, 693, 217, 504 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 797, 590, 693, 217, 504. So, keep reading to learn more.
Given numbers are 797,590,693,217,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,590,693,217,504 is 40407804360.
Find LCM of 797,590,693,217,504 with Prime Factorization
| 2 | 797, 590, 693, 217, 504 |
| 3 | 797, 295, 693, 217, 252 |
| 3 | 797, 295, 231, 217, 84 |
| 7 | 797, 295, 77, 217, 28 |
| 797, 295, 11, 31, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 797 x 295 x 11 x 31 x 4 = 40407804360
Therefore, the lowest common multiple of 797,590,693,217,504 is 40407804360.
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.
797 x 590 x 693 x 217 x 504 = 35639683445520
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.
797 : 1, 797
590 : 1, 2, 5, 10, 59, 118, 295, 590
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
217 : 1, 7, 31, 217
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,590,693,217,504, is 1.
Now, the common factors can be found like this.
797:797
590:2x 5x 59
693:3x 3x 7x 11
217:7x 31
504:2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 35639683445520/(1x882)
LCM = 35639683445520/882
LCM = 40407804360
Thus, we can understand that the LCM of 797,590,693,217,504 is 40407804360.
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FAQs on LCM of 797, 590, 693, 217, 504
1. What is the LCM of 797, 590, 693, 217, 504?
Answer: LCM of 797, 590, 693, 217, 504 is 40407804360.
2. How to calculate the LCM of 797, 590, 693, 217, 504?
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 797, 590, 693, 217, 504.
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}.