LCM of 810, 405, 968, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 405, 968, 170 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 810, 405, 968, 170. So, keep reading to learn more.
Given numbers are 810,405,968,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,405,968,170 is 6664680.
Find LCM of 810,405,968,170 with Prime Factorization
| 2 | 810, 405, 968, 170 |
| 3 | 405, 405, 484, 85 |
| 3 | 135, 135, 484, 85 |
| 3 | 45, 45, 484, 85 |
| 3 | 15, 15, 484, 85 |
| 5 | 5, 5, 484, 85 |
| 1, 1, 484, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 1 x 1 x 484 x 17 = 6664680
Therefore, the lowest common multiple of 810,405,968,170 is 6664680.
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.
810 x 405 x 968 x 170 = 53983908000
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,405,968,170, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
405:3x 3x 3x 3x 5
968:2x 2x 2x 11x 11
170:2x 5x 17
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 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 53983908000/(1x8100)
LCM = 53983908000/8100
LCM = 6664680
Thus, we can understand that the LCM of 810,405,968,170 is 6664680.
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FAQs on LCM of 810, 405, 968, 170
1. What is the LCM of 810, 405, 968, 170?
Answer: LCM of 810, 405, 968, 170 is 6664680.
2. How to calculate the LCM of 810, 405, 968, 170?
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 810, 405, 968, 170.
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}.