LCM of 114, 813, 810, 195, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 813, 810, 195, 486 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 114, 813, 810, 195, 486. So, keep reading to learn more.
Given numbers are 114,813,810,195,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,813,810,195,486 is 162656910.
Find LCM of 114,813,810,195,486 with Prime Factorization
| 2 | 114, 813, 810, 195, 486 |
| 3 | 57, 813, 405, 195, 243 |
| 3 | 19, 271, 135, 65, 81 |
| 3 | 19, 271, 45, 65, 27 |
| 3 | 19, 271, 15, 65, 9 |
| 5 | 19, 271, 5, 65, 3 |
| 19, 271, 1, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 19 x 271 x 1 x 13 x 3 = 162656910
Therefore, the lowest common multiple of 114,813,810,195,486 is 162656910.
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.
114 x 813 x 810 x 195 x 486 = 7114613243400
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
813 : 1, 3, 271, 813
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
195 : 1, 3, 5, 13, 15, 39, 65, 195
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,813,810,195,486, is 3.
Now, the common factors can be found like this.
114:2x 3x 19
813:3x 271
810:2x 3x 3x 3x 3x 5
195:3x 5x 13
486:2x 3x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 5 = 14580
Therefore, the value for common factors is 14580.
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 = 7114613243400/(3x14580)
LCM = 7114613243400/43740
LCM = 162656910
Thus, we can understand that the LCM of 114,813,810,195,486 is 162656910.
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FAQs on LCM of 114, 813, 810, 195, 486
1. What is the LCM of 114, 813, 810, 195, 486?
Answer: LCM of 114, 813, 810, 195, 486 is 162656910.
2. How to calculate the LCM of 114, 813, 810, 195, 486?
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 114, 813, 810, 195, 486.
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}.