LCM of 585, 913, 425, 489, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 913, 425, 489, 442 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 585, 913, 425, 489, 442. So, keep reading to learn more.
Given numbers are 585,913,425,489,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,913,425,489,442 is 14800049550.
Find LCM of 585,913,425,489,442 with Prime Factorization
| 3 | 585, 913, 425, 489, 442 |
| 5 | 195, 913, 425, 163, 442 |
| 13 | 39, 913, 85, 163, 442 |
| 17 | 3, 913, 85, 163, 34 |
| 3, 913, 5, 163, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 17 x 3 x 913 x 5 x 163 x 2 = 14800049550
Therefore, the lowest common multiple of 585,913,425,489,442 is 14800049550.
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.
585 x 913 x 425 x 489 x 442 = 49062164258250
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
913 : 1, 11, 83, 913
425 : 1, 5, 17, 25, 85, 425
489 : 1, 3, 163, 489
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,913,425,489,442, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
913:11x 83
425:5x 5x 17
489:3x 163
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 17 = 3315
Therefore, the value for common factors is 3315.
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 = 49062164258250/(1x3315)
LCM = 49062164258250/3315
LCM = 14800049550
Thus, we can understand that the LCM of 585,913,425,489,442 is 14800049550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 585, 913, 425, 489, 442
1. What is the LCM of 585, 913, 425, 489, 442?
Answer: LCM of 585, 913, 425, 489, 442 is 14800049550.
2. How to calculate the LCM of 585, 913, 425, 489, 442?
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 585, 913, 425, 489, 442.
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}.