LCM of 415, 798, 814, 285, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 798, 814, 285, 845 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 415, 798, 814, 285, 845. So, keep reading to learn more.
Given numbers are 415,798,814,285,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,798,814,285,845 is 22778866110.
Find LCM of 415,798,814,285,845 with Prime Factorization
| 2 | 415, 798, 814, 285, 845 |
| 3 | 415, 399, 407, 285, 845 |
| 5 | 415, 133, 407, 95, 845 |
| 19 | 83, 133, 407, 19, 169 |
| 83, 7, 407, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 83 x 7 x 407 x 1 x 169 = 22778866110
Therefore, the lowest common multiple of 415,798,814,285,845 is 22778866110.
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.
415 x 798 x 814 x 285 x 845 = 64919768413500
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.
415 : 1, 5, 83, 415
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
814 : 1, 2, 11, 22, 37, 74, 407, 814
285 : 1, 3, 5, 15, 19, 57, 95, 285
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,798,814,285,845, is 1.
Now, the common factors can be found like this.
415:5x 83
798:2x 3x 7x 19
814:2x 11x 37
285:3x 5x 19
845:5x 13x 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 3x 5x 5x 19 = 2850
Therefore, the value for common factors is 2850.
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 = 64919768413500/(1x2850)
LCM = 64919768413500/2850
LCM = 22778866110
Thus, we can understand that the LCM of 415,798,814,285,845 is 22778866110.
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FAQs on LCM of 415, 798, 814, 285, 845
1. What is the LCM of 415, 798, 814, 285, 845?
Answer: LCM of 415, 798, 814, 285, 845 is 22778866110.
2. How to calculate the LCM of 415, 798, 814, 285, 845?
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 415, 798, 814, 285, 845.
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}.