LCM of 810, 459, 418, 670, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 459, 418, 670, 816 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 810, 459, 418, 670, 816. So, keep reading to learn more.
Given numbers are 810,459,418,670,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,459,418,670,816 is 1542570480.
Find LCM of 810,459,418,670,816 with Prime Factorization
| 2 | 810, 459, 418, 670, 816 |
| 3 | 405, 459, 209, 335, 408 |
| 3 | 135, 153, 209, 335, 136 |
| 3 | 45, 51, 209, 335, 136 |
| 5 | 15, 17, 209, 335, 136 |
| 17 | 3, 17, 209, 67, 136 |
| 3, 1, 209, 67, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 17 x 3 x 1 x 209 x 67 x 8 = 1542570480
Therefore, the lowest common multiple of 810,459,418,670,816 is 1542570480.
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.
810 x 459 x 418 x 670 x 816 = 84964782038400
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
459 : 1, 3, 9, 17, 27, 51, 153, 459
418 : 1, 2, 11, 19, 22, 38, 209, 418
670 : 1, 2, 5, 10, 67, 134, 335, 670
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,459,418,670,816, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
459:3x 3x 3x 17
418:2x 11x 19
670:2x 5x 67
816:2x 2x 2x 2x 3x 17
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 3x 3x 3x 5x 17 = 55080
Therefore, the value for common factors is 55080.
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 = 84964782038400/(1x55080)
LCM = 84964782038400/55080
LCM = 1542570480
Thus, we can understand that the LCM of 810,459,418,670,816 is 1542570480.
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FAQs on LCM of 810, 459, 418, 670, 816
1. What is the LCM of 810, 459, 418, 670, 816?
Answer: LCM of 810, 459, 418, 670, 816 is 1542570480.
2. How to calculate the LCM of 810, 459, 418, 670, 816?
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 810, 459, 418, 670, 816.
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}.