LCM of 960, 205, 922, 800, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 205, 922, 800, 162 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 960, 205, 922, 800, 162. So, keep reading to learn more.
Given numbers are 960,205,922,800,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,205,922,800,162 is 2449569600.
Find LCM of 960,205,922,800,162 with Prime Factorization
| 2 | 960, 205, 922, 800, 162 |
| 2 | 480, 205, 461, 400, 81 |
| 2 | 240, 205, 461, 200, 81 |
| 2 | 120, 205, 461, 100, 81 |
| 2 | 60, 205, 461, 50, 81 |
| 3 | 30, 205, 461, 25, 81 |
| 5 | 10, 205, 461, 25, 27 |
| 2, 41, 461, 5, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 41 x 461 x 5 x 27 = 2449569600
Therefore, the lowest common multiple of 960,205,922,800,162 is 2449569600.
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.
960 x 205 x 922 x 800 x 162 = 23515868160000
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
205 : 1, 5, 41, 205
922 : 1, 2, 461, 922
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,205,922,800,162, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
205:5x 41
922:2x 461
800:2x 2x 2x 2x 2x 5x 5
162:2x 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 2x 2x 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 23515868160000/(1x9600)
LCM = 23515868160000/9600
LCM = 2449569600
Thus, we can understand that the LCM of 960,205,922,800,162 is 2449569600.
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FAQs on LCM of 960, 205, 922, 800, 162
1. What is the LCM of 960, 205, 922, 800, 162?
Answer: LCM of 960, 205, 922, 800, 162 is 2449569600.
2. How to calculate the LCM of 960, 205, 922, 800, 162?
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 960, 205, 922, 800, 162.
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}.