LCM of 987, 144, 819, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 144, 819, 382 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 987, 144, 819, 382. So, keep reading to learn more.
Given numbers are 987,144,819,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,144,819,382 is 117634608.
Find LCM of 987,144,819,382 with Prime Factorization
| 2 | 987, 144, 819, 382 |
| 3 | 987, 72, 819, 191 |
| 3 | 329, 24, 273, 191 |
| 7 | 329, 8, 91, 191 |
| 47, 8, 13, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 47 x 8 x 13 x 191 = 117634608
Therefore, the lowest common multiple of 987,144,819,382 is 117634608.
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.
987 x 144 x 819 x 382 = 44465881824
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,144,819,382, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
144:2x 2x 2x 2x 3x 3
819:3x 3x 7x 13
382:2x 191
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 7 = 378
Therefore, the value for common factors is 378.
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 = 44465881824/(1x378)
LCM = 44465881824/378
LCM = 117634608
Thus, we can understand that the LCM of 987,144,819,382 is 117634608.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 987, 144, 819, 382
1. What is the LCM of 987, 144, 819, 382?
Answer: LCM of 987, 144, 819, 382 is 117634608.
2. How to calculate the LCM of 987, 144, 819, 382?
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 987, 144, 819, 382.
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}.