LCM of 192, 106, 954, 682, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 106, 954, 682, 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 192, 106, 954, 682, 486. So, keep reading to learn more.
Given numbers are 192,106,954,682,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,106,954,682,486 is 281071296.
Find LCM of 192,106,954,682,486 with Prime Factorization
| 2 | 192, 106, 954, 682, 486 |
| 3 | 96, 53, 477, 341, 243 |
| 3 | 32, 53, 159, 341, 81 |
| 53 | 32, 53, 53, 341, 27 |
| 32, 1, 1, 341, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 32 x 1 x 1 x 341 x 27 = 281071296
Therefore, the lowest common multiple of 192,106,954,682,486 is 281071296.
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.
192 x 106 x 954 x 682 x 486 = 6435408393216
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
106 : 1, 2, 53, 106
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
682 : 1, 2, 11, 22, 31, 62, 341, 682
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,106,954,682,486, is 2.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
106:2x 53
954:2x 3x 3x 53
682:2x 11x 31
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 2x 3x 3x 3x 53 = 11448
Therefore, the value for common factors is 11448.
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 = 6435408393216/(2x11448)
LCM = 6435408393216/22896
LCM = 281071296
Thus, we can understand that the LCM of 192,106,954,682,486 is 281071296.
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FAQs on LCM of 192, 106, 954, 682, 486
1. What is the LCM of 192, 106, 954, 682, 486?
Answer: LCM of 192, 106, 954, 682, 486 is 281071296.
2. How to calculate the LCM of 192, 106, 954, 682, 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 192, 106, 954, 682, 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}.