LCM of 135, 587, 441, 240, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 587, 441, 240, 317 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 135, 587, 441, 240, 317. So, keep reading to learn more.
Given numbers are 135,587,441,240,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,587,441,240,317 is 19694601360.
Find LCM of 135,587,441,240,317 with Prime Factorization
| 3 | 135, 587, 441, 240, 317 |
| 3 | 45, 587, 147, 80, 317 |
| 5 | 15, 587, 49, 80, 317 |
| 3, 587, 49, 16, 317 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 3 x 587 x 49 x 16 x 317 = 19694601360
Therefore, the lowest common multiple of 135,587,441,240,317 is 19694601360.
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.
135 x 587 x 441 x 240 x 317 = 2658771183600
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
587 : 1, 587
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,587,441,240,317, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
587:587
441:3x 3x 7x 7
240:2x 2x 2x 2x 3x 5
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 2658771183600/(1x135)
LCM = 2658771183600/135
LCM = 19694601360
Thus, we can understand that the LCM of 135,587,441,240,317 is 19694601360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 135, 587, 441, 240, 317
1. What is the LCM of 135, 587, 441, 240, 317?
Answer: LCM of 135, 587, 441, 240, 317 is 19694601360.
2. How to calculate the LCM of 135, 587, 441, 240, 317?
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 135, 587, 441, 240, 317.
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}.