Find the LCM of 405, 715, 630, 585, 187 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 405, 715, 630, 585, 187. So, keep reading to learn more.
Given numbers are 405,715,630,585,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,715,630,585,187 is 13783770.
Find LCM of 405,715,630,585,187 with Prime Factorization
3 | 405, 715, 630, 585, 187 |
3 | 135, 715, 210, 195, 187 |
5 | 45, 715, 70, 65, 187 |
11 | 9, 143, 14, 13, 187 |
13 | 9, 13, 14, 13, 17 |
9, 1, 14, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 13 x 9 x 1 x 14 x 1 x 17 = 13783770
Therefore, the lowest common multiple of 405,715,630,585,187 is 13783770.
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.
405 x 715 x 630 x 585 x 187 = 19957175988750
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
715 : 1, 5, 11, 13, 55, 65, 143, 715
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,715,630,585,187, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
715:5x 11x 13
630:2x 3x 3x 5x 7
585:3x 3x 5x 13
187:11x 17
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 3x 5x 5x 5x 11x 13 = 1447875
Therefore, the value for common factors is 1447875.
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 = 19957175988750/(1x1447875)
LCM = 19957175988750/1447875
LCM = 13783770
Thus, we can understand that the LCM of 405,715,630,585,187 is 13783770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 715, 630, 585, 187?
Answer: LCM of 405, 715, 630, 585, 187 is 13783770.
2. How to calculate the LCM of 405, 715, 630, 585, 187?
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 405, 715, 630, 585, 187.
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}.