LCM of 510, 110, 162, 412, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 110, 162, 412, 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 510, 110, 162, 412, 810. So, keep reading to learn more.
Given numbers are 510,110,162,412,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,110,162,412,810 is 31202820.
Find LCM of 510,110,162,412,810 with Prime Factorization
| 2 | 510, 110, 162, 412, 810 |
| 3 | 255, 55, 81, 206, 405 |
| 3 | 85, 55, 27, 206, 135 |
| 3 | 85, 55, 9, 206, 45 |
| 3 | 85, 55, 3, 206, 15 |
| 5 | 85, 55, 1, 206, 5 |
| 17, 11, 1, 206, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 17 x 11 x 1 x 206 x 1 = 31202820
Therefore, the lowest common multiple of 510,110,162,412,810 is 31202820.
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.
510 x 110 x 162 x 412 x 810 = 3032914104000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
110 : 1, 2, 5, 10, 11, 22, 55, 110
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
412 : 1, 2, 4, 103, 206, 412
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,110,162,412,810, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
110:2x 5x 11
162:2x 3x 3x 3x 3
412:2x 2x 103
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 2x 2x 3x 3x 3x 3x 3x 5x 5 = 48600
Therefore, the value for common factors is 48600.
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 = 3032914104000/(2x48600)
LCM = 3032914104000/97200
LCM = 31202820
Thus, we can understand that the LCM of 510,110,162,412,810 is 31202820.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 510, 110, 162, 412, 810
1. What is the LCM of 510, 110, 162, 412, 810?
Answer: LCM of 510, 110, 162, 412, 810 is 31202820.
2. How to calculate the LCM of 510, 110, 162, 412, 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 510, 110, 162, 412, 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}.