LCM of 408, 808, 782, 394, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 808, 782, 394, 405 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 408, 808, 782, 394, 405. So, keep reading to learn more.
Given numbers are 408,808,782,394,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,808,782,394,405 is 25206315480.
Find LCM of 408,808,782,394,405 with Prime Factorization
| 2 | 408, 808, 782, 394, 405 |
| 2 | 204, 404, 391, 197, 405 |
| 2 | 102, 202, 391, 197, 405 |
| 3 | 51, 101, 391, 197, 405 |
| 17 | 17, 101, 391, 197, 135 |
| 1, 101, 23, 197, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 101 x 23 x 197 x 135 = 25206315480
Therefore, the lowest common multiple of 408,808,782,394,405 is 25206315480.
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.
408 x 808 x 782 x 394 x 405 = 41136706863360
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
808 : 1, 2, 4, 8, 101, 202, 404, 808
782 : 1, 2, 17, 23, 34, 46, 391, 782
394 : 1, 2, 197, 394
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,808,782,394,405, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
808:2x 2x 2x 101
782:2x 17x 23
394:2x 197
405:3x 3x 3x 3x 5
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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 41136706863360/(1x1632)
LCM = 41136706863360/1632
LCM = 25206315480
Thus, we can understand that the LCM of 408,808,782,394,405 is 25206315480.
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FAQs on LCM of 408, 808, 782, 394, 405
1. What is the LCM of 408, 808, 782, 394, 405?
Answer: LCM of 408, 808, 782, 394, 405 is 25206315480.
2. How to calculate the LCM of 408, 808, 782, 394, 405?
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 408, 808, 782, 394, 405.
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}.