LCM of 489, 799, 504, 799, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 799, 504, 799, 217 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 489, 799, 504, 799, 217. So, keep reading to learn more.
Given numbers are 489,799,504,799,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,799,504,799,217 is 2034822888.
Find LCM of 489,799,504,799,217 with Prime Factorization
| 3 | 489, 799, 504, 799, 217 |
| 7 | 163, 799, 168, 799, 217 |
| 17 | 163, 799, 24, 799, 31 |
| 47 | 163, 47, 24, 47, 31 |
| 163, 1, 24, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 47 x 163 x 1 x 24 x 1 x 31 = 2034822888
Therefore, the lowest common multiple of 489,799,504,799,217 is 2034822888.
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.
489 x 799 x 504 x 799 x 217 = 34142293237752
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.
489 : 1, 3, 163, 489
799 : 1, 17, 47, 799
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
799 : 1, 17, 47, 799
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,799,504,799,217, is 1.
Now, the common factors can be found like this.
489:3x 163
799:17x 47
504:2x 2x 2x 3x 3x 7
799:17x 47
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 17x 47 = 16779
Therefore, the value for common factors is 16779.
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 = 34142293237752/(1x16779)
LCM = 34142293237752/16779
LCM = 2034822888
Thus, we can understand that the LCM of 489,799,504,799,217 is 2034822888.
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FAQs on LCM of 489, 799, 504, 799, 217
1. What is the LCM of 489, 799, 504, 799, 217?
Answer: LCM of 489, 799, 504, 799, 217 is 2034822888.
2. How to calculate the LCM of 489, 799, 504, 799, 217?
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 489, 799, 504, 799, 217.
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}.