LCM of 815, 408, 437, 640, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 408, 437, 640, 272 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 815, 408, 437, 640, 272. So, keep reading to learn more.
Given numbers are 815,408,437,640,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,408,437,640,272 is 2324979840.
Find LCM of 815,408,437,640,272 with Prime Factorization
| 2 | 815, 408, 437, 640, 272 |
| 2 | 815, 204, 437, 320, 136 |
| 2 | 815, 102, 437, 160, 68 |
| 2 | 815, 51, 437, 80, 34 |
| 5 | 815, 51, 437, 40, 17 |
| 17 | 163, 51, 437, 8, 17 |
| 163, 3, 437, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 17 x 163 x 3 x 437 x 8 x 1 = 2324979840
Therefore, the lowest common multiple of 815,408,437,640,272 is 2324979840.
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.
815 x 408 x 437 x 640 x 272 = 25295780659200
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.
815 : 1, 5, 163, 815
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
437 : 1, 19, 23, 437
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,408,437,640,272, is 1.
Now, the common factors can be found like this.
815:5x 163
408:2x 2x 2x 3x 17
437:19x 23
640:2x 2x 2x 2x 2x 2x 2x 5
272:2x 2x 2x 2x 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 5x 17 = 10880
Therefore, the value for common factors is 10880.
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 = 25295780659200/(1x10880)
LCM = 25295780659200/10880
LCM = 2324979840
Thus, we can understand that the LCM of 815,408,437,640,272 is 2324979840.
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FAQs on LCM of 815, 408, 437, 640, 272
1. What is the LCM of 815, 408, 437, 640, 272?
Answer: LCM of 815, 408, 437, 640, 272 is 2324979840.
2. How to calculate the LCM of 815, 408, 437, 640, 272?
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 815, 408, 437, 640, 272.
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}.