LCM of 102, 117, 122, 405, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 117, 122, 405, 415 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 102, 117, 122, 405, 415. So, keep reading to learn more.
Given numbers are 102,117,122,405,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,117,122,405,415 is 906327630.
Find LCM of 102,117,122,405,415 with Prime Factorization
| 2 | 102, 117, 122, 405, 415 |
| 3 | 51, 117, 61, 405, 415 |
| 3 | 17, 39, 61, 135, 415 |
| 5 | 17, 13, 61, 45, 415 |
| 17, 13, 61, 9, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 13 x 61 x 9 x 83 = 906327630
Therefore, the lowest common multiple of 102,117,122,405,415 is 906327630.
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.
102 x 117 x 122 x 405 x 415 = 244708460100
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
117 : 1, 3, 9, 13, 39, 117
122 : 1, 2, 61, 122
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,117,122,405,415, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
117:3x 3x 13
122:2x 61
405:3x 3x 3x 3x 5
415:5x 83
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 5 = 270
Therefore, the value for common factors is 270.
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 = 244708460100/(1x270)
LCM = 244708460100/270
LCM = 906327630
Thus, we can understand that the LCM of 102,117,122,405,415 is 906327630.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 102, 117, 122, 405, 415
1. What is the LCM of 102, 117, 122, 405, 415?
Answer: LCM of 102, 117, 122, 405, 415 is 906327630.
2. How to calculate the LCM of 102, 117, 122, 405, 415?
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 102, 117, 122, 405, 415.
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}.