LCM of 515, 792, 424, 513, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 792, 424, 513, 522 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 515, 792, 424, 513, 522. So, keep reading to learn more.
Given numbers are 515,792,424,513,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,792,424,513,522 is 35733958920.
Find LCM of 515,792,424,513,522 with Prime Factorization
| 2 | 515, 792, 424, 513, 522 |
| 2 | 515, 396, 212, 513, 261 |
| 2 | 515, 198, 106, 513, 261 |
| 3 | 515, 99, 53, 513, 261 |
| 3 | 515, 33, 53, 171, 87 |
| 515, 11, 53, 57, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 515 x 11 x 53 x 57 x 29 = 35733958920
Therefore, the lowest common multiple of 515,792,424,513,522 is 35733958920.
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.
515 x 792 x 424 x 513 x 522 = 46311210760320
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.
515 : 1, 5, 103, 515
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
424 : 1, 2, 4, 8, 53, 106, 212, 424
513 : 1, 3, 9, 19, 27, 57, 171, 513
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,792,424,513,522, is 1.
Now, the common factors can be found like this.
515:5x 103
792:2x 2x 2x 3x 3x 11
424:2x 2x 2x 53
513:3x 3x 3x 19
522:2x 3x 3x 29
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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 46311210760320/(1x1296)
LCM = 46311210760320/1296
LCM = 35733958920
Thus, we can understand that the LCM of 515,792,424,513,522 is 35733958920.
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FAQs on LCM of 515, 792, 424, 513, 522
1. What is the LCM of 515, 792, 424, 513, 522?
Answer: LCM of 515, 792, 424, 513, 522 is 35733958920.
2. How to calculate the LCM of 515, 792, 424, 513, 522?
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 515, 792, 424, 513, 522.
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}.