LCM of 315, 717, 810, 574, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 717, 810, 574, 286 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 315, 717, 810, 574, 286. So, keep reading to learn more.
Given numbers are 315,717,810,574,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,717,810,574,286 is 7945127190.
Find LCM of 315,717,810,574,286 with Prime Factorization
| 2 | 315, 717, 810, 574, 286 |
| 3 | 315, 717, 405, 287, 143 |
| 3 | 105, 239, 135, 287, 143 |
| 5 | 35, 239, 45, 287, 143 |
| 7 | 7, 239, 9, 287, 143 |
| 1, 239, 9, 41, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 1 x 239 x 9 x 41 x 143 = 7945127190
Therefore, the lowest common multiple of 315,717,810,574,286 is 7945127190.
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.
315 x 717 x 810 x 574 x 286 = 30032580778200
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
717 : 1, 3, 239, 717
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
574 : 1, 2, 7, 14, 41, 82, 287, 574
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,717,810,574,286, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
717:3x 239
810:2x 3x 3x 3x 3x 5
574:2x 7x 41
286:2x 11x 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 2x 3x 3x 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 30032580778200/(1x3780)
LCM = 30032580778200/3780
LCM = 7945127190
Thus, we can understand that the LCM of 315,717,810,574,286 is 7945127190.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 315, 717, 810, 574, 286
1. What is the LCM of 315, 717, 810, 574, 286?
Answer: LCM of 315, 717, 810, 574, 286 is 7945127190.
2. How to calculate the LCM of 315, 717, 810, 574, 286?
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 315, 717, 810, 574, 286.
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}.