LCM of 8517, 1904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8517, 1904 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 8517, 1904. So, keep reading to learn more.
Given numbers are 8517,1904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8517,1904 is 953904.
Find LCM of 8517,1904 with Prime Factorization
| 17 | 8517, 1904 |
| 501, 112 |
Multiply the prime numbers at the bottom and the left side.
17 x 501 x 112 = 953904
Therefore, the lowest common multiple of 8517,1904 is 953904.
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.
8517 x 1904 = 16216368
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.
8517 : 1, 3, 17, 51, 167, 501, 2839, 8517
1904 : 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8517,1904, is 17.
Now, the common factors can be found like this.
8517:3x 17x 167
1904:2x 2x 2x 2x 7x 17
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 = 16216368/(17x1)
LCM = 16216368/17
LCM = 953904
Thus, we can understand that the LCM of 8517,1904 is 953904.
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FAQs on LCM of 8517, 1904
1. What is the LCM of 8517, 1904?
Answer: LCM of 8517, 1904 is 953904.
2. How to calculate the LCM of 8517, 1904?
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 8517, 1904.
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}.