LCM of 518, 343, 616, 715, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 343, 616, 715, 305 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 518, 343, 616, 715, 305. So, keep reading to learn more.
Given numbers are 518,343,616,715,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,343,616,715,305 is 4428143720.
Find LCM of 518,343,616,715,305 with Prime Factorization
| 2 | 518, 343, 616, 715, 305 |
| 5 | 259, 343, 308, 715, 305 |
| 7 | 259, 343, 308, 143, 61 |
| 11 | 37, 49, 44, 143, 61 |
| 37, 49, 4, 13, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 37 x 49 x 4 x 13 x 61 = 4428143720
Therefore, the lowest common multiple of 518,343,616,715,305 is 4428143720.
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.
518 x 343 x 616 x 715 x 305 = 23867694650800
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
343 : 1, 7, 49, 343
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
715 : 1, 5, 11, 13, 55, 65, 143, 715
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,343,616,715,305, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
343:7x 7x 7
616:2x 2x 2x 7x 11
715:5x 11x 13
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7x 11 = 5390
Therefore, the value for common factors is 5390.
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 = 23867694650800/(1x5390)
LCM = 23867694650800/5390
LCM = 4428143720
Thus, we can understand that the LCM of 518,343,616,715,305 is 4428143720.
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FAQs on LCM of 518, 343, 616, 715, 305
1. What is the LCM of 518, 343, 616, 715, 305?
Answer: LCM of 518, 343, 616, 715, 305 is 4428143720.
2. How to calculate the LCM of 518, 343, 616, 715, 305?
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 518, 343, 616, 715, 305.
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}.