LCM of 891, 642, 621, 580, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 642, 621, 580, 405 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 891, 642, 621, 580, 405. So, keep reading to learn more.
Given numbers are 891,642,621,580,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,642,621,580,405 is 1271795580.
Find LCM of 891,642,621,580,405 with Prime Factorization
| 2 | 891, 642, 621, 580, 405 |
| 3 | 891, 321, 621, 290, 405 |
| 3 | 297, 107, 207, 290, 135 |
| 3 | 99, 107, 69, 290, 45 |
| 3 | 33, 107, 23, 290, 15 |
| 5 | 11, 107, 23, 290, 5 |
| 11, 107, 23, 58, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 11 x 107 x 23 x 58 x 1 = 1271795580
Therefore, the lowest common multiple of 891,642,621,580,405 is 1271795580.
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.
891 x 642 x 621 x 580 x 405 = 83442508003800
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
642 : 1, 2, 3, 6, 107, 214, 321, 642
621 : 1, 3, 9, 23, 27, 69, 207, 621
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,642,621,580,405, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
642:2x 3x 107
621:3x 3x 3x 23
580:2x 2x 5x 29
405:3x 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 3x 3x 5 = 65610
Therefore, the value for common factors is 65610.
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 = 83442508003800/(1x65610)
LCM = 83442508003800/65610
LCM = 1271795580
Thus, we can understand that the LCM of 891,642,621,580,405 is 1271795580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 891, 642, 621, 580, 405
1. What is the LCM of 891, 642, 621, 580, 405?
Answer: LCM of 891, 642, 621, 580, 405 is 1271795580.
2. How to calculate the LCM of 891, 642, 621, 580, 405?
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 891, 642, 621, 580, 405.
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}.