LCM of 272, 388, 339, 639, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 388, 339, 639, 810 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 272, 388, 339, 639, 810. So, keep reading to learn more.
Given numbers are 272,388,339,639,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,388,339,639,810 is 85729926960.
Find LCM of 272,388,339,639,810 with Prime Factorization
| 2 | 272, 388, 339, 639, 810 |
| 2 | 136, 194, 339, 639, 405 |
| 3 | 68, 97, 339, 639, 405 |
| 3 | 68, 97, 113, 213, 135 |
| 68, 97, 113, 71, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 68 x 97 x 113 x 71 x 45 = 85729926960
Therefore, the lowest common multiple of 272,388,339,639,810 is 85729926960.
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.
272 x 388 x 339 x 639 x 810 = 18517664223360
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
388 : 1, 2, 4, 97, 194, 388
339 : 1, 3, 113, 339
639 : 1, 3, 9, 71, 213, 639
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,388,339,639,810, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
388:2x 2x 97
339:3x 113
639:3x 3x 71
810:2x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 18517664223360/(1x216)
LCM = 18517664223360/216
LCM = 85729926960
Thus, we can understand that the LCM of 272,388,339,639,810 is 85729926960.
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FAQs on LCM of 272, 388, 339, 639, 810
1. What is the LCM of 272, 388, 339, 639, 810?
Answer: LCM of 272, 388, 339, 639, 810 is 85729926960.
2. How to calculate the LCM of 272, 388, 339, 639, 810?
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 272, 388, 339, 639, 810.
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}.