LCM of 161, 614, 189, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 614, 189, 810 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 161, 614, 189, 810. So, keep reading to learn more.
Given numbers are 161,614,189,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,614,189,810 is 40035870.
Find LCM of 161,614,189,810 with Prime Factorization
| 2 | 161, 614, 189, 810 |
| 3 | 161, 307, 189, 405 |
| 3 | 161, 307, 63, 135 |
| 3 | 161, 307, 21, 45 |
| 7 | 161, 307, 7, 15 |
| 23, 307, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 23 x 307 x 1 x 15 = 40035870
Therefore, the lowest common multiple of 161,614,189,810 is 40035870.
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.
161 x 614 x 189 x 810 = 15133558860
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.
161 : 1, 7, 23, 161
614 : 1, 2, 307, 614
189 : 1, 3, 7, 9, 21, 27, 63, 189
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,614,189,810, is 1.
Now, the common factors can be found like this.
161:7x 23
614:2x 307
189:3x 3x 3x 7
810:2x 3x 3x 3x 3x 5
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 = 15133558860/(1x378)
LCM = 15133558860/378
LCM = 40035870
Thus, we can understand that the LCM of 161,614,189,810 is 40035870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 161, 614, 189, 810
1. What is the LCM of 161, 614, 189, 810?
Answer: LCM of 161, 614, 189, 810 is 40035870.
2. How to calculate the LCM of 161, 614, 189, 810?
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 161, 614, 189, 810.
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}.