LCM of 144, 961, 427, 806, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 961, 427, 806, 168 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 144, 961, 427, 806, 168. So, keep reading to learn more.
Given numbers are 144,961,427,806,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,961,427,806,168 is 768169584.
Find LCM of 144,961,427,806,168 with Prime Factorization
| 2 | 144, 961, 427, 806, 168 |
| 2 | 72, 961, 427, 403, 84 |
| 2 | 36, 961, 427, 403, 42 |
| 3 | 18, 961, 427, 403, 21 |
| 7 | 6, 961, 427, 403, 7 |
| 31 | 6, 961, 61, 403, 1 |
| 6, 31, 61, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 31 x 6 x 31 x 61 x 13 x 1 = 768169584
Therefore, the lowest common multiple of 144,961,427,806,168 is 768169584.
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.
144 x 961 x 427 x 806 x 168 = 8001254386944
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
961 : 1, 31, 961
427 : 1, 7, 61, 427
806 : 1, 2, 13, 26, 31, 62, 403, 806
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,961,427,806,168, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
961:31x 31
427:7x 61
806:2x 13x 31
168:2x 2x 2x 3x 7
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 2x 3x 7x 31 = 10416
Therefore, the value for common factors is 10416.
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 = 8001254386944/(1x10416)
LCM = 8001254386944/10416
LCM = 768169584
Thus, we can understand that the LCM of 144,961,427,806,168 is 768169584.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 144, 961, 427, 806, 168
1. What is the LCM of 144, 961, 427, 806, 168?
Answer: LCM of 144, 961, 427, 806, 168 is 768169584.
2. How to calculate the LCM of 144, 961, 427, 806, 168?
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 144, 961, 427, 806, 168.
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}.