LCM of 891, 286, 806, 270, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 286, 806, 270, 633 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, 286, 806, 270, 633. So, keep reading to learn more.
Given numbers are 891,286,806,270,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,286,806,270,633 is 757644030.
Find LCM of 891,286,806,270,633 with Prime Factorization
| 2 | 891, 286, 806, 270, 633 |
| 3 | 891, 143, 403, 135, 633 |
| 3 | 297, 143, 403, 45, 211 |
| 3 | 99, 143, 403, 15, 211 |
| 11 | 33, 143, 403, 5, 211 |
| 13 | 3, 13, 403, 5, 211 |
| 3, 1, 31, 5, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 13 x 3 x 1 x 31 x 5 x 211 = 757644030
Therefore, the lowest common multiple of 891,286,806,270,633 is 757644030.
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 286 x 806 x 270 x 633 = 35103163197960
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
806 : 1, 2, 13, 26, 31, 62, 403, 806
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,286,806,270,633, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
286:2x 11x 13
806:2x 13x 31
270:2x 3x 3x 3x 5
633:3x 211
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 11x 13 = 46332
Therefore, the value for common factors is 46332.
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 = 35103163197960/(1x46332)
LCM = 35103163197960/46332
LCM = 757644030
Thus, we can understand that the LCM of 891,286,806,270,633 is 757644030.
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, 286, 806, 270, 633
1. What is the LCM of 891, 286, 806, 270, 633?
Answer: LCM of 891, 286, 806, 270, 633 is 757644030.
2. How to calculate the LCM of 891, 286, 806, 270, 633?
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, 286, 806, 270, 633.
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}.