LCM of 259, 693, 585, 629, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 693, 585, 629, 905 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 259, 693, 585, 629, 905. So, keep reading to learn more.
Given numbers are 259,693,585,629,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,693,585,629,905 is 5128328205.
Find LCM of 259,693,585,629,905 with Prime Factorization
| 3 | 259, 693, 585, 629, 905 |
| 3 | 259, 231, 195, 629, 905 |
| 5 | 259, 77, 65, 629, 905 |
| 7 | 259, 77, 13, 629, 181 |
| 37 | 37, 11, 13, 629, 181 |
| 1, 11, 13, 17, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 37 x 1 x 11 x 13 x 17 x 181 = 5128328205
Therefore, the lowest common multiple of 259,693,585,629,905 is 5128328205.
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.
259 x 693 x 585 x 629 x 905 = 59770665229275
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.
259 : 1, 7, 37, 259
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
629 : 1, 17, 37, 629
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,693,585,629,905, is 1.
Now, the common factors can be found like this.
259:7x 37
693:3x 3x 7x 11
585:3x 3x 5x 13
629:17x 37
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 37 = 11655
Therefore, the value for common factors is 11655.
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 = 59770665229275/(1x11655)
LCM = 59770665229275/11655
LCM = 5128328205
Thus, we can understand that the LCM of 259,693,585,629,905 is 5128328205.
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FAQs on LCM of 259, 693, 585, 629, 905
1. What is the LCM of 259, 693, 585, 629, 905?
Answer: LCM of 259, 693, 585, 629, 905 is 5128328205.
2. How to calculate the LCM of 259, 693, 585, 629, 905?
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 259, 693, 585, 629, 905.
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}.