LCM of 621, 135, 559, 946, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 135, 559, 946, 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 621, 135, 559, 946, 810. So, keep reading to learn more.
Given numbers are 621,135,559,946,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,135,559,946,810 is 114555870.
Find LCM of 621,135,559,946,810 with Prime Factorization
| 2 | 621, 135, 559, 946, 810 |
| 3 | 621, 135, 559, 473, 405 |
| 3 | 207, 45, 559, 473, 135 |
| 3 | 69, 15, 559, 473, 45 |
| 5 | 23, 5, 559, 473, 15 |
| 43 | 23, 1, 559, 473, 3 |
| 23, 1, 13, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 43 x 23 x 1 x 13 x 11 x 3 = 114555870
Therefore, the lowest common multiple of 621,135,559,946,810 is 114555870.
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.
621 x 135 x 559 x 946 x 810 = 35909828568900
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
135 : 1, 3, 5, 9, 15, 27, 45, 135
559 : 1, 13, 43, 559
946 : 1, 2, 11, 22, 43, 86, 473, 946
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 621,135,559,946,810, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
135:3x 3x 3x 5
559:13x 43
946:2x 11x 43
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 3x 3x 3x 5x 43 = 313470
Therefore, the value for common factors is 313470.
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 = 35909828568900/(1x313470)
LCM = 35909828568900/313470
LCM = 114555870
Thus, we can understand that the LCM of 621,135,559,946,810 is 114555870.
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FAQs on LCM of 621, 135, 559, 946, 810
1. What is the LCM of 621, 135, 559, 946, 810?
Answer: LCM of 621, 135, 559, 946, 810 is 114555870.
2. How to calculate the LCM of 621, 135, 559, 946, 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 621, 135, 559, 946, 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}.