Find the LCM of 405, 969, 645, 903, 189 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, 969, 645, 903, 189. So, keep reading to learn more.
Given numbers are 405,969,645,903,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,969,645,903,189 is 39375315.
Find LCM of 405,969,645,903,189 with Prime Factorization
3 | 405, 969, 645, 903, 189 |
3 | 135, 323, 215, 301, 63 |
3 | 45, 323, 215, 301, 21 |
5 | 15, 323, 215, 301, 7 |
7 | 3, 323, 43, 301, 7 |
43 | 3, 323, 43, 43, 1 |
3, 323, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 43 x 3 x 323 x 1 x 1 x 1 = 39375315
Therefore, the lowest common multiple of 405,969,645,903,189 is 39375315.
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 969 x 645 x 903 x 189 = 43200429975675
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
645 : 1, 3, 5, 15, 43, 129, 215, 645
903 : 1, 3, 7, 21, 43, 129, 301, 903
189 : 1, 3, 7, 9, 21, 27, 63, 189
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,969,645,903,189, is 3.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
969:3x 17x 19
645:3x 5x 43
903:3x 7x 43
189:3x 3x 3x 7
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 3x 5x 7x 43 = 365715
Therefore, the value for common factors is 365715.
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 = 43200429975675/(3x365715)
LCM = 43200429975675/1097145
LCM = 39375315
Thus, we can understand that the LCM of 405,969,645,903,189 is 39375315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 969, 645, 903, 189?
Answer: LCM of 405, 969, 645, 903, 189 is 39375315.
2. How to calculate the LCM of 405, 969, 645, 903, 189?
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, 969, 645, 903, 189.
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}.