LCM of 130, 459, 529, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 459, 529, 799 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 130, 459, 529, 799. So, keep reading to learn more.
Given numbers are 130,459,529,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,459,529,799 is 1483575210.
Find LCM of 130,459,529,799 with Prime Factorization
| 17 | 130, 459, 529, 799 |
| 130, 27, 529, 47 |
Multiply the prime numbers at the bottom and the left side.
17 x 130 x 27 x 529 x 47 = 1483575210
Therefore, the lowest common multiple of 130,459,529,799 is 1483575210.
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.
130 x 459 x 529 x 799 = 25220778570
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
459 : 1, 3, 9, 17, 27, 51, 153, 459
529 : 1, 23, 529
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,459,529,799, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
459:3x 3x 3x 17
529:23x 23
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 25220778570/(1x17)
LCM = 25220778570/17
LCM = 1483575210
Thus, we can understand that the LCM of 130,459,529,799 is 1483575210.
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FAQs on LCM of 130, 459, 529, 799
1. What is the LCM of 130, 459, 529, 799?
Answer: LCM of 130, 459, 529, 799 is 1483575210.
2. How to calculate the LCM of 130, 459, 529, 799?
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 130, 459, 529, 799.
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}.