LCM of 8718, 3708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8718, 3708 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, 3708. So, keep reading to learn more.
Given numbers are 8718,3708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8718,3708 is 5387724.
Find LCM of 8718,3708 with Prime Factorization
| 2 | 8718, 3708 |
| 3 | 4359, 1854 |
| 1453, 618 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1453 x 618 = 5387724
Therefore, the lowest common multiple of 8718,3708 is 5387724.
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 3708 = 32326344
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
3708 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8718,3708, is 6.
Now, the common factors can be found like this.
8718:2x 3x 1453
3708:2x 2x 3x 3x 103
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 = 32326344/(6x1)
LCM = 32326344/6
LCM = 5387724
Thus, we can understand that the LCM of 8718,3708 is 5387724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8718, 3708
1. What is the LCM of 8718, 3708?
Answer: LCM of 8718, 3708 is 5387724.
2. How to calculate the LCM of 8718, 3708?
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, 3708.
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}.