LCM of 999, 962, 986, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 962, 986, 115 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 999, 962, 986, 115. So, keep reading to learn more.
Given numbers are 999,962,986,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,962,986,115 is 1472595930.
Find LCM of 999,962,986,115 with Prime Factorization
| 2 | 999, 962, 986, 115 |
| 37 | 999, 481, 493, 115 |
| 27, 13, 493, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 27 x 13 x 493 x 115 = 1472595930
Therefore, the lowest common multiple of 999,962,986,115 is 1472595930.
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.
999 x 962 x 986 x 115 = 108972098820
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
962 : 1, 2, 13, 26, 37, 74, 481, 962
986 : 1, 2, 17, 29, 34, 58, 493, 986
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,962,986,115, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
962:2x 13x 37
986:2x 17x 29
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 37 = 74
Therefore, the value for common factors is 74.
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 = 108972098820/(1x74)
LCM = 108972098820/74
LCM = 1472595930
Thus, we can understand that the LCM of 999,962,986,115 is 1472595930.
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FAQs on LCM of 999, 962, 986, 115
1. What is the LCM of 999, 962, 986, 115?
Answer: LCM of 999, 962, 986, 115 is 1472595930.
2. How to calculate the LCM of 999, 962, 986, 115?
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 999, 962, 986, 115.
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}.