LCM of 699, 986, 388, 990, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 986, 388, 990, 517 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 699, 986, 388, 990, 517. So, keep reading to learn more.
Given numbers are 699,986,388,990,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,986,388,990,517 is 1036901786580.
Find LCM of 699,986,388,990,517 with Prime Factorization
| 2 | 699, 986, 388, 990, 517 |
| 3 | 699, 493, 194, 495, 517 |
| 11 | 233, 493, 194, 165, 517 |
| 233, 493, 194, 15, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 233 x 493 x 194 x 15 x 47 = 1036901786580
Therefore, the lowest common multiple of 699,986,388,990,517 is 1036901786580.
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.
699 x 986 x 388 x 990 x 517 = 136871035828560
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.
699 : 1, 3, 233, 699
986 : 1, 2, 17, 29, 34, 58, 493, 986
388 : 1, 2, 4, 97, 194, 388
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,986,388,990,517, is 1.
Now, the common factors can be found like this.
699:3x 233
986:2x 17x 29
388:2x 2x 97
990:2x 3x 3x 5x 11
517:11x 47
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 136871035828560/(1x132)
LCM = 136871035828560/132
LCM = 1036901786580
Thus, we can understand that the LCM of 699,986,388,990,517 is 1036901786580.
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FAQs on LCM of 699, 986, 388, 990, 517
1. What is the LCM of 699, 986, 388, 990, 517?
Answer: LCM of 699, 986, 388, 990, 517 is 1036901786580.
2. How to calculate the LCM of 699, 986, 388, 990, 517?
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 699, 986, 388, 990, 517.
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}.