Find the LCM of 122, 330, 204, 645, 417 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 122, 330, 204, 645, 417. So, keep reading to learn more.
Given numbers are 122,330,204,645,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,330,204,645,417 is 4090778340.
Find LCM of 122,330,204,645,417 with Prime Factorization
2 | 122, 330, 204, 645, 417 |
3 | 61, 165, 102, 645, 417 |
5 | 61, 55, 34, 215, 139 |
61, 11, 34, 43, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 61 x 11 x 34 x 43 x 139 = 4090778340
Therefore, the lowest common multiple of 122,330,204,645,417 is 4090778340.
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.
122 x 330 x 204 x 645 x 417 = 2209020303600
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.
122 : 1, 2, 61, 122
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
645 : 1, 3, 5, 15, 43, 129, 215, 645
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,330,204,645,417, is 1.
Now, the common factors can be found like this.
122:2x 61
330:2x 3x 5x 11
204:2x 2x 3x 17
645:3x 5x 43
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 2209020303600/(1x540)
LCM = 2209020303600/540
LCM = 4090778340
Thus, we can understand that the LCM of 122,330,204,645,417 is 4090778340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 330, 204, 645, 417?
Answer: LCM of 122, 330, 204, 645, 417 is 4090778340.
2. How to calculate the LCM of 122, 330, 204, 645, 417?
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 122, 330, 204, 645, 417.
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}.