LCM of 691, 809, 216, 272, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 809, 216, 272, 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 691, 809, 216, 272, 816. So, keep reading to learn more.
Given numbers are 691,809,216,272,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,809,216,272,816 is 4105435536.
Find LCM of 691,809,216,272,816 with Prime Factorization
| 2 | 691, 809, 216, 272, 816 |
| 2 | 691, 809, 108, 136, 408 |
| 2 | 691, 809, 54, 68, 204 |
| 2 | 691, 809, 27, 34, 102 |
| 3 | 691, 809, 27, 17, 51 |
| 17 | 691, 809, 9, 17, 17 |
| 691, 809, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 691 x 809 x 9 x 1 x 1 = 4105435536
Therefore, the lowest common multiple of 691,809,216,272,816 is 4105435536.
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.
691 x 809 x 216 x 272 x 816 = 26800283179008
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.
691 : 1, 691
809 : 1, 809
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 691,809,216,272,816, is 1.
Now, the common factors can be found like this.
691:691
809:809
216:2x 2x 2x 3x 3x 3
272:2x 2x 2x 2x 17
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 2x 2x 2x 2x 3x 17 = 6528
Therefore, the value for common factors is 6528.
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 = 26800283179008/(1x6528)
LCM = 26800283179008/6528
LCM = 4105435536
Thus, we can understand that the LCM of 691,809,216,272,816 is 4105435536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 691, 809, 216, 272, 816
1. What is the LCM of 691, 809, 216, 272, 816?
Answer: LCM of 691, 809, 216, 272, 816 is 4105435536.
2. How to calculate the LCM of 691, 809, 216, 272, 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 691, 809, 216, 272, 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}.