LCM of 808, 407, 496, 992, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 407, 496, 992, 104 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 808, 407, 496, 992, 104. So, keep reading to learn more.
Given numbers are 808,407,496,992,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,407,496,992,104 is 530115872.
Find LCM of 808,407,496,992,104 with Prime Factorization
| 2 | 808, 407, 496, 992, 104 |
| 2 | 404, 407, 248, 496, 52 |
| 2 | 202, 407, 124, 248, 26 |
| 2 | 101, 407, 62, 124, 13 |
| 31 | 101, 407, 31, 62, 13 |
| 101, 407, 1, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 31 x 101 x 407 x 1 x 2 x 13 = 530115872
Therefore, the lowest common multiple of 808,407,496,992,104 is 530115872.
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.
808 x 407 x 496 x 992 x 104 = 16827998240768
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
407 : 1, 11, 37, 407
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,407,496,992,104, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
407:11x 37
496:2x 2x 2x 2x 31
992:2x 2x 2x 2x 2x 31
104:2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 31 = 31744
Therefore, the value for common factors is 31744.
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 = 16827998240768/(1x31744)
LCM = 16827998240768/31744
LCM = 530115872
Thus, we can understand that the LCM of 808,407,496,992,104 is 530115872.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 808, 407, 496, 992, 104
1. What is the LCM of 808, 407, 496, 992, 104?
Answer: LCM of 808, 407, 496, 992, 104 is 530115872.
2. How to calculate the LCM of 808, 407, 496, 992, 104?
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 808, 407, 496, 992, 104.
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}.