LCM of 522, 812, 580, 447, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 812, 580, 447, 709 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, 812, 580, 447, 709. So, keep reading to learn more.
Given numbers are 522,812,580,447,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,812,580,447,709 is 3860122140.
Find LCM of 522,812,580,447,709 with Prime Factorization
| 2 | 522, 812, 580, 447, 709 |
| 2 | 261, 406, 290, 447, 709 |
| 3 | 261, 203, 145, 447, 709 |
| 29 | 87, 203, 145, 149, 709 |
| 3, 7, 5, 149, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 3 x 7 x 5 x 149 x 709 = 3860122140
Therefore, the lowest common multiple of 522,812,580,447,709 is 3860122140.
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 812 x 580 x 447 x 709 = 77912705273760
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
447 : 1, 3, 149, 447
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,812,580,447,709, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
812:2x 2x 7x 29
580:2x 2x 5x 29
447:3x 149
709:709
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 2x 3x 29x 29 = 20184
Therefore, the value for common factors is 20184.
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 = 77912705273760/(1x20184)
LCM = 77912705273760/20184
LCM = 3860122140
Thus, we can understand that the LCM of 522,812,580,447,709 is 3860122140.
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FAQs on LCM of 522, 812, 580, 447, 709
1. What is the LCM of 522, 812, 580, 447, 709?
Answer: LCM of 522, 812, 580, 447, 709 is 3860122140.
2. How to calculate the LCM of 522, 812, 580, 447, 709?
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, 812, 580, 447, 709.
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}.