LCM of 496, 814, 105, 405, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 814, 105, 405, 904 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 496, 814, 105, 405, 904. So, keep reading to learn more.
Given numbers are 496,814,105,405,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,814,105,405,904 is 64670704560.
Find LCM of 496,814,105,405,904 with Prime Factorization
| 2 | 496, 814, 105, 405, 904 |
| 2 | 248, 407, 105, 405, 452 |
| 2 | 124, 407, 105, 405, 226 |
| 3 | 62, 407, 105, 405, 113 |
| 5 | 62, 407, 35, 135, 113 |
| 62, 407, 7, 27, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 62 x 407 x 7 x 27 x 113 = 64670704560
Therefore, the lowest common multiple of 496,814,105,405,904 is 64670704560.
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.
496 x 814 x 105 x 405 x 904 = 15520969094400
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
814 : 1, 2, 11, 22, 37, 74, 407, 814
105 : 1, 3, 5, 7, 15, 21, 35, 105
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,814,105,405,904, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
814:2x 11x 37
105:3x 5x 7
405:3x 3x 3x 3x 5
904:2x 2x 2x 113
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 15520969094400/(1x240)
LCM = 15520969094400/240
LCM = 64670704560
Thus, we can understand that the LCM of 496,814,105,405,904 is 64670704560.
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FAQs on LCM of 496, 814, 105, 405, 904
1. What is the LCM of 496, 814, 105, 405, 904?
Answer: LCM of 496, 814, 105, 405, 904 is 64670704560.
2. How to calculate the LCM of 496, 814, 105, 405, 904?
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 496, 814, 105, 405, 904.
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}.