LCM of 311, 491, 493, 105, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 491, 493, 105, 986 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 311, 491, 493, 105, 986. So, keep reading to learn more.
Given numbers are 311,491,493,105,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,491,493,105,986 is 15809134530.
Find LCM of 311,491,493,105,986 with Prime Factorization
| 17 | 311, 491, 493, 105, 986 |
| 29 | 311, 491, 29, 105, 58 |
| 311, 491, 1, 105, 2 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 311 x 491 x 1 x 105 x 2 = 15809134530
Therefore, the lowest common multiple of 311,491,493,105,986 is 15809134530.
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.
311 x 491 x 493 x 105 x 986 = 7793903323290
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.
311 : 1, 311
491 : 1, 491
493 : 1, 17, 29, 493
105 : 1, 3, 5, 7, 15, 21, 35, 105
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,491,493,105,986, is 1.
Now, the common factors can be found like this.
311:311
491:491
493:17x 29
105:3x 5x 7
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29 = 493
Therefore, the value for common factors is 493.
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 = 7793903323290/(1x493)
LCM = 7793903323290/493
LCM = 15809134530
Thus, we can understand that the LCM of 311,491,493,105,986 is 15809134530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 491, 493, 105, 986
1. What is the LCM of 311, 491, 493, 105, 986?
Answer: LCM of 311, 491, 493, 105, 986 is 15809134530.
2. How to calculate the LCM of 311, 491, 493, 105, 986?
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 311, 491, 493, 105, 986.
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}.