LCM of 216, 614, 396, 205, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 614, 396, 205, 273 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 216, 614, 396, 205, 273. So, keep reading to learn more.
Given numbers are 216,614,396,205,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,614,396,205,273 is 13607553960.
Find LCM of 216,614,396,205,273 with Prime Factorization
| 2 | 216, 614, 396, 205, 273 |
| 2 | 108, 307, 198, 205, 273 |
| 3 | 54, 307, 99, 205, 273 |
| 3 | 18, 307, 33, 205, 91 |
| 6, 307, 11, 205, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 6 x 307 x 11 x 205 x 91 = 13607553960
Therefore, the lowest common multiple of 216,614,396,205,273 is 13607553960.
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.
216 x 614 x 396 x 205 x 273 = 2939231655360
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
614 : 1, 2, 307, 614
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
205 : 1, 5, 41, 205
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,614,396,205,273, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
614:2x 307
396:2x 2x 3x 3x 11
205:5x 41
273:3x 7x 13
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 2939231655360/(1x216)
LCM = 2939231655360/216
LCM = 13607553960
Thus, we can understand that the LCM of 216,614,396,205,273 is 13607553960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 216, 614, 396, 205, 273
1. What is the LCM of 216, 614, 396, 205, 273?
Answer: LCM of 216, 614, 396, 205, 273 is 13607553960.
2. How to calculate the LCM of 216, 614, 396, 205, 273?
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 216, 614, 396, 205, 273.
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}.