LCM of 459, 216, 633, 969, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 216, 633, 969, 514 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 459, 216, 633, 969, 514. So, keep reading to learn more.
Given numbers are 459,216,633,969,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,216,633,969,514 is 3783309336.
Find LCM of 459,216,633,969,514 with Prime Factorization
| 2 | 459, 216, 633, 969, 514 |
| 3 | 459, 108, 633, 969, 257 |
| 3 | 153, 36, 211, 323, 257 |
| 3 | 51, 12, 211, 323, 257 |
| 17 | 17, 4, 211, 323, 257 |
| 1, 4, 211, 19, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 1 x 4 x 211 x 19 x 257 = 3783309336
Therefore, the lowest common multiple of 459,216,633,969,514 is 3783309336.
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.
459 x 216 x 633 x 969 x 514 = 31257701734032
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
633 : 1, 3, 211, 633
969 : 1, 3, 17, 19, 51, 57, 323, 969
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,216,633,969,514, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
216:2x 2x 2x 3x 3x 3
633:3x 211
969:3x 17x 19
514:2x 257
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 3x 3x 17 = 8262
Therefore, the value for common factors is 8262.
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 = 31257701734032/(1x8262)
LCM = 31257701734032/8262
LCM = 3783309336
Thus, we can understand that the LCM of 459,216,633,969,514 is 3783309336.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 459, 216, 633, 969, 514
1. What is the LCM of 459, 216, 633, 969, 514?
Answer: LCM of 459, 216, 633, 969, 514 is 3783309336.
2. How to calculate the LCM of 459, 216, 633, 969, 514?
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 459, 216, 633, 969, 514.
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}.