LCM of 816, 854, 270, 304, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 854, 270, 304, 465 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 816, 854, 270, 304, 465. So, keep reading to learn more.
Given numbers are 816,854,270,304,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,854,270,304,465 is 9235190160.
Find LCM of 816,854,270,304,465 with Prime Factorization
| 2 | 816, 854, 270, 304, 465 |
| 2 | 408, 427, 135, 152, 465 |
| 2 | 204, 427, 135, 76, 465 |
| 2 | 102, 427, 135, 38, 465 |
| 3 | 51, 427, 135, 19, 465 |
| 5 | 17, 427, 45, 19, 155 |
| 17, 427, 9, 19, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 17 x 427 x 9 x 19 x 31 = 9235190160
Therefore, the lowest common multiple of 816,854,270,304,465 is 9235190160.
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.
816 x 854 x 270 x 304 x 465 = 26597347660800
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
854 : 1, 2, 7, 14, 61, 122, 427, 854
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,854,270,304,465, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
854:2x 7x 61
270:2x 3x 3x 3x 5
304:2x 2x 2x 2x 19
465:3x 5x 31
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 2x 3x 3x 5 = 2880
Therefore, the value for common factors is 2880.
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 = 26597347660800/(1x2880)
LCM = 26597347660800/2880
LCM = 9235190160
Thus, we can understand that the LCM of 816,854,270,304,465 is 9235190160.
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FAQs on LCM of 816, 854, 270, 304, 465
1. What is the LCM of 816, 854, 270, 304, 465?
Answer: LCM of 816, 854, 270, 304, 465 is 9235190160.
2. How to calculate the LCM of 816, 854, 270, 304, 465?
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 816, 854, 270, 304, 465.
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}.