Find the LCM of 387, 561, 194, 418, 405 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 387, 561, 194, 418, 405. So, keep reading to learn more.
Given numbers are 387,561,194,418,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,561,194,418,405 is 12003846030.
Find LCM of 387,561,194,418,405 with Prime Factorization
2 | 387, 561, 194, 418, 405 |
3 | 387, 561, 97, 209, 405 |
3 | 129, 187, 97, 209, 135 |
11 | 43, 187, 97, 209, 45 |
43, 17, 97, 19, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 43 x 17 x 97 x 19 x 45 = 12003846030
Therefore, the lowest common multiple of 387,561,194,418,405 is 12003846030.
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.
387 x 561 x 194 x 418 x 405 = 7130284541820
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.
387 : 1, 3, 9, 43, 129, 387
561 : 1, 3, 11, 17, 33, 51, 187, 561
194 : 1, 2, 97, 194
418 : 1, 2, 11, 19, 22, 38, 209, 418
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,561,194,418,405, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
561:3x 11x 17
194:2x 97
418:2x 11x 19
405:3x 3x 3x 3x 5
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 11 = 594
Therefore, the value for common factors is 594.
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 = 7130284541820/(1x594)
LCM = 7130284541820/594
LCM = 12003846030
Thus, we can understand that the LCM of 387,561,194,418,405 is 12003846030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 561, 194, 418, 405?
Answer: LCM of 387, 561, 194, 418, 405 is 12003846030.
2. How to calculate the LCM of 387, 561, 194, 418, 405?
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 387, 561, 194, 418, 405.
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}.