LCM of 520, 811, 793, 634, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 811, 793, 634, 104 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 520, 811, 793, 634, 104. So, keep reading to learn more.
Given numbers are 520,811,793,634,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,811,793,634,104 is 8154799640.
Find LCM of 520,811,793,634,104 with Prime Factorization
| 2 | 520, 811, 793, 634, 104 |
| 2 | 260, 811, 793, 317, 52 |
| 2 | 130, 811, 793, 317, 26 |
| 13 | 65, 811, 793, 317, 13 |
| 5, 811, 61, 317, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 5 x 811 x 61 x 317 x 1 = 8154799640
Therefore, the lowest common multiple of 520,811,793,634,104 is 8154799640.
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.
520 x 811 x 793 x 634 x 104 = 22050578226560
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
811 : 1, 811
793 : 1, 13, 61, 793
634 : 1, 2, 317, 634
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,811,793,634,104, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
811:811
793:13x 61
634:2x 317
104:2x 2x 2x 13
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 22050578226560/(1x2704)
LCM = 22050578226560/2704
LCM = 8154799640
Thus, we can understand that the LCM of 520,811,793,634,104 is 8154799640.
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FAQs on LCM of 520, 811, 793, 634, 104
1. What is the LCM of 520, 811, 793, 634, 104?
Answer: LCM of 520, 811, 793, 634, 104 is 8154799640.
2. How to calculate the LCM of 520, 811, 793, 634, 104?
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 520, 811, 793, 634, 104.
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}.