LCM of 522, 713, 913, 493, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 713, 913, 493, 793 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 522, 713, 913, 493, 793. So, keep reading to learn more.
Given numbers are 522,713,913,493,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,713,913,493,793 is 4580922232458.
Find LCM of 522,713,913,493,793 with Prime Factorization
| 29 | 522, 713, 913, 493, 793 |
| 18, 713, 913, 17, 793 |
Multiply the prime numbers at the bottom and the left side.
29 x 18 x 713 x 913 x 17 x 793 = 4580922232458
Therefore, the lowest common multiple of 522,713,913,493,793 is 4580922232458.
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.
522 x 713 x 913 x 493 x 793 = 132846744741282
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
713 : 1, 23, 31, 713
913 : 1, 11, 83, 913
493 : 1, 17, 29, 493
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,713,913,493,793, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
713:23x 31
913:11x 83
493:17x 29
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 132846744741282/(1x29)
LCM = 132846744741282/29
LCM = 4580922232458
Thus, we can understand that the LCM of 522,713,913,493,793 is 4580922232458.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 522, 713, 913, 493, 793
1. What is the LCM of 522, 713, 913, 493, 793?
Answer: LCM of 522, 713, 913, 493, 793 is 4580922232458.
2. How to calculate the LCM of 522, 713, 913, 493, 793?
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 522, 713, 913, 493, 793.
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}.