Find the LCM of 408, 545, 809, 327, 163 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 408, 545, 809, 327, 163. So, keep reading to learn more.
Given numbers are 408,545,809,327,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,545,809,327,163 is 29321946120.
Find LCM of 408,545,809,327,163 with Prime Factorization
3 | 408, 545, 809, 327, 163 |
109 | 136, 545, 809, 109, 163 |
136, 5, 809, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 136 x 5 x 809 x 1 x 163 = 29321946120
Therefore, the lowest common multiple of 408,545,809,327,163 is 29321946120.
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.
408 x 545 x 809 x 327 x 163 = 9588276381240
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
545 : 1, 5, 109, 545
809 : 1, 809
327 : 1, 3, 109, 327
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,545,809,327,163, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
545:5x 109
809:809
327:3x 109
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 109 = 327
Therefore, the value for common factors is 327.
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 = 9588276381240/(1x327)
LCM = 9588276381240/327
LCM = 29321946120
Thus, we can understand that the LCM of 408,545,809,327,163 is 29321946120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 545, 809, 327, 163?
Answer: LCM of 408, 545, 809, 327, 163 is 29321946120.
2. How to calculate the LCM of 408, 545, 809, 327, 163?
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 408, 545, 809, 327, 163.
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}.