LCM of 818, 809, 810, 442, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 809, 810, 442, 420 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 818, 809, 810, 442, 420. So, keep reading to learn more.
Given numbers are 818,809,810,442,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,809,810,442,420 is 829234109340.
Find LCM of 818,809,810,442,420 with Prime Factorization
| 2 | 818, 809, 810, 442, 420 |
| 3 | 409, 809, 405, 221, 210 |
| 5 | 409, 809, 135, 221, 70 |
| 409, 809, 27, 221, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 409 x 809 x 27 x 221 x 14 = 829234109340
Therefore, the lowest common multiple of 818,809,810,442,420 is 829234109340.
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.
818 x 809 x 810 x 442 x 420 = 99508093120800
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.
818 : 1, 2, 409, 818
809 : 1, 809
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
442 : 1, 2, 13, 17, 26, 34, 221, 442
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,809,810,442,420, is 1.
Now, the common factors can be found like this.
818:2x 409
809:809
810:2x 3x 3x 3x 3x 5
442:2x 13x 17
420:2x 2x 3x 5x 7
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 5 = 120
Therefore, the value for common factors is 120.
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 = 99508093120800/(1x120)
LCM = 99508093120800/120
LCM = 829234109340
Thus, we can understand that the LCM of 818,809,810,442,420 is 829234109340.
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FAQs on LCM of 818, 809, 810, 442, 420
1. What is the LCM of 818, 809, 810, 442, 420?
Answer: LCM of 818, 809, 810, 442, 420 is 829234109340.
2. How to calculate the LCM of 818, 809, 810, 442, 420?
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 818, 809, 810, 442, 420.
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}.