LCM of 638, 115, 585, 290, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 115, 585, 290, 495 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 638, 115, 585, 290, 495. So, keep reading to learn more.
Given numbers are 638,115,585,290,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,115,585,290,495 is 8584290.
Find LCM of 638,115,585,290,495 with Prime Factorization
| 2 | 638, 115, 585, 290, 495 |
| 3 | 319, 115, 585, 145, 495 |
| 3 | 319, 115, 195, 145, 165 |
| 5 | 319, 115, 65, 145, 55 |
| 11 | 319, 23, 13, 29, 11 |
| 29 | 29, 23, 13, 29, 1 |
| 1, 23, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 29 x 1 x 23 x 13 x 1 x 1 = 8584290
Therefore, the lowest common multiple of 638,115,585,290,495 is 8584290.
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.
638 x 115 x 585 x 290 x 495 = 6161374147500
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
115 : 1, 5, 23, 115
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
290 : 1, 2, 5, 10, 29, 58, 145, 290
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,115,585,290,495, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
115:5x 23
585:3x 3x 5x 13
290:2x 5x 29
495:3x 3x 5x 11
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 3x 5x 5x 5x 11x 29 = 717750
Therefore, the value for common factors is 717750.
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 = 6161374147500/(1x717750)
LCM = 6161374147500/717750
LCM = 8584290
Thus, we can understand that the LCM of 638,115,585,290,495 is 8584290.
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FAQs on LCM of 638, 115, 585, 290, 495
1. What is the LCM of 638, 115, 585, 290, 495?
Answer: LCM of 638, 115, 585, 290, 495 is 8584290.
2. How to calculate the LCM of 638, 115, 585, 290, 495?
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 638, 115, 585, 290, 495.
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}.