LCM of 405, 675, 871, 207, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 675, 871, 207, 267 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, 675, 871, 207, 267. So, keep reading to learn more.
Given numbers are 405,675,871,207,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,675,871,207,267 is 3610447425.
Find LCM of 405,675,871,207,267 with Prime Factorization
| 3 | 405, 675, 871, 207, 267 |
| 3 | 135, 225, 871, 69, 89 |
| 3 | 45, 75, 871, 23, 89 |
| 5 | 15, 25, 871, 23, 89 |
| 3, 5, 871, 23, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 3 x 5 x 871 x 23 x 89 = 3610447425
Therefore, the lowest common multiple of 405,675,871,207,267 is 3610447425.
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 675 x 871 x 207 x 267 = 13160080864125
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
871 : 1, 13, 67, 871
207 : 1, 3, 9, 23, 69, 207
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,675,871,207,267, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
675:3x 3x 3x 5x 5
871:13x 67
207:3x 3x 23
267:3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 5 = 3645
Therefore, the value for common factors is 3645.
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 = 13160080864125/(1x3645)
LCM = 13160080864125/3645
LCM = 3610447425
Thus, we can understand that the LCM of 405,675,871,207,267 is 3610447425.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 405, 675, 871, 207, 267
1. What is the LCM of 405, 675, 871, 207, 267?
Answer: LCM of 405, 675, 871, 207, 267 is 3610447425.
2. How to calculate the LCM of 405, 675, 871, 207, 267?
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, 675, 871, 207, 267.
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}.