LCM of 799, 386, 986, 908, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 386, 986, 908, 990 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 799, 386, 986, 908, 990. So, keep reading to learn more.
Given numbers are 799,386,986,908,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,386,986,908,990 is 2009986468380.
Find LCM of 799,386,986,908,990 with Prime Factorization
| 2 | 799, 386, 986, 908, 990 |
| 17 | 799, 193, 493, 454, 495 |
| 47, 193, 29, 454, 495 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 47 x 193 x 29 x 454 x 495 = 2009986468380
Therefore, the lowest common multiple of 799,386,986,908,990 is 2009986468380.
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.
799 x 386 x 986 x 908 x 990 = 273358159699680
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.
799 : 1, 17, 47, 799
386 : 1, 2, 193, 386
986 : 1, 2, 17, 29, 34, 58, 493, 986
908 : 1, 2, 4, 227, 454, 908
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,386,986,908,990, is 1.
Now, the common factors can be found like this.
799:17x 47
386:2x 193
986:2x 17x 29
908:2x 2x 227
990:2x 3x 3x 5x 11
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 17 = 136
Therefore, the value for common factors is 136.
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 = 273358159699680/(1x136)
LCM = 273358159699680/136
LCM = 2009986468380
Thus, we can understand that the LCM of 799,386,986,908,990 is 2009986468380.
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FAQs on LCM of 799, 386, 986, 908, 990
1. What is the LCM of 799, 386, 986, 908, 990?
Answer: LCM of 799, 386, 986, 908, 990 is 2009986468380.
2. How to calculate the LCM of 799, 386, 986, 908, 990?
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 799, 386, 986, 908, 990.
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}.