Find the LCM of 405, 191, 270, 629, 296 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, 191, 270, 629, 296. So, keep reading to learn more.
Given numbers are 405,191,270,629,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,191,270,629,296 is 389250360.
Find LCM of 405,191,270,629,296 with Prime Factorization
2 | 405, 191, 270, 629, 296 |
3 | 405, 191, 135, 629, 148 |
3 | 45, 191, 135, 629, 148 |
3 | 15, 191, 45, 629, 148 |
5 | 5, 191, 15, 629, 148 |
37 | 1, 191, 3, 629, 148 |
1, 191, 3, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 37 x 1 x 191 x 3 x 17 x 4 = 389250360
Therefore, the lowest common multiple of 405,191,270,629,296 is 389250360.
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 191 x 270 x 629 x 296 = 3888611096400
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
191 : 1, 191
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
629 : 1, 17, 37, 629
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,191,270,629,296, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
191:191
270:2x 3x 3x 3x 5
629:17x 37
296:2x 2x 2x 37
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 3x 5x 37 = 9990
Therefore, the value for common factors is 9990.
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 = 3888611096400/(1x9990)
LCM = 3888611096400/9990
LCM = 389250360
Thus, we can understand that the LCM of 405,191,270,629,296 is 389250360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 191, 270, 629, 296?
Answer: LCM of 405, 191, 270, 629, 296 is 389250360.
2. How to calculate the LCM of 405, 191, 270, 629, 296?
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, 191, 270, 629, 296.
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}.