LCM of 515, 208, 585, 404, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 208, 585, 404, 848 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 515, 208, 585, 404, 848. So, keep reading to learn more.
Given numbers are 515,208,585,404,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,208,585,404,848 is 5160720240.
Find LCM of 515,208,585,404,848 with Prime Factorization
| 2 | 515, 208, 585, 404, 848 |
| 2 | 515, 104, 585, 202, 424 |
| 2 | 515, 52, 585, 101, 212 |
| 2 | 515, 26, 585, 101, 106 |
| 5 | 515, 13, 585, 101, 53 |
| 13 | 103, 13, 117, 101, 53 |
| 103, 1, 9, 101, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 103 x 1 x 9 x 101 x 53 = 5160720240
Therefore, the lowest common multiple of 515,208,585,404,848 is 5160720240.
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.
515 x 208 x 585 x 404 x 848 = 21468596198400
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.
515 : 1, 5, 103, 515
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
404 : 1, 2, 4, 101, 202, 404
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,208,585,404,848, is 1.
Now, the common factors can be found like this.
515:5x 103
208:2x 2x 2x 2x 13
585:3x 3x 5x 13
404:2x 2x 101
848:2x 2x 2x 2x 53
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 5x 13 = 4160
Therefore, the value for common factors is 4160.
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 = 21468596198400/(1x4160)
LCM = 21468596198400/4160
LCM = 5160720240
Thus, we can understand that the LCM of 515,208,585,404,848 is 5160720240.
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FAQs on LCM of 515, 208, 585, 404, 848
1. What is the LCM of 515, 208, 585, 404, 848?
Answer: LCM of 515, 208, 585, 404, 848 is 5160720240.
2. How to calculate the LCM of 515, 208, 585, 404, 848?
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 515, 208, 585, 404, 848.
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}.