LCM of 990, 585, 413, 102, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 585, 413, 102, 408 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 990, 585, 413, 102, 408. So, keep reading to learn more.
Given numbers are 990,585,413,102,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,585,413,102,408 is 361441080.
Find LCM of 990,585,413,102,408 with Prime Factorization
| 2 | 990, 585, 413, 102, 408 |
| 3 | 495, 585, 413, 51, 204 |
| 3 | 165, 195, 413, 17, 68 |
| 5 | 55, 65, 413, 17, 68 |
| 17 | 11, 13, 413, 17, 68 |
| 11, 13, 413, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 11 x 13 x 413 x 1 x 4 = 361441080
Therefore, the lowest common multiple of 990,585,413,102,408 is 361441080.
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.
990 x 585 x 413 x 102 x 408 = 9954087343200
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
413 : 1, 7, 59, 413
102 : 1, 2, 3, 6, 17, 34, 51, 102
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,585,413,102,408, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
585:3x 3x 5x 13
413:7x 59
102:2x 3x 17
408:2x 2x 2x 3x 17
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 3x 3x 3x 3x 5x 17 = 27540
Therefore, the value for common factors is 27540.
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 = 9954087343200/(1x27540)
LCM = 9954087343200/27540
LCM = 361441080
Thus, we can understand that the LCM of 990,585,413,102,408 is 361441080.
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FAQs on LCM of 990, 585, 413, 102, 408
1. What is the LCM of 990, 585, 413, 102, 408?
Answer: LCM of 990, 585, 413, 102, 408 is 361441080.
2. How to calculate the LCM of 990, 585, 413, 102, 408?
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 990, 585, 413, 102, 408.
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}.