LCM of 8718, 2016
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8718, 2016 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 8718, 2016. So, keep reading to learn more.
Given numbers are 8718,2016
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8718,2016 is 2929248.
Find LCM of 8718,2016 with Prime Factorization
| 2 | 8718, 2016 |
| 3 | 4359, 1008 |
| 1453, 336 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1453 x 336 = 2929248
Therefore, the lowest common multiple of 8718,2016 is 2929248.
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.
8718 x 2016 = 17575488
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.
8718 : 1, 2, 3, 6, 1453, 2906, 4359, 8718
2016 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8718,2016, is 6.
Now, the common factors can be found like this.
8718:2x 3x 1453
2016:2x 2x 2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 17575488/(6x1)
LCM = 17575488/6
LCM = 2929248
Thus, we can understand that the LCM of 8718,2016 is 2929248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 8718, 2016
1. What is the LCM of 8718, 2016?
Answer: LCM of 8718, 2016 is 2929248.
2. How to calculate the LCM of 8718, 2016?
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 8718, 2016.
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}.