LCM of 806, 642, 442, 561, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 642, 442, 561, 629 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 806, 642, 442, 561, 629. So, keep reading to learn more.
Given numbers are 806,642,442,561,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,642,442,561,629 is 1790125194.
Find LCM of 806,642,442,561,629 with Prime Factorization
| 2 | 806, 642, 442, 561, 629 |
| 3 | 403, 321, 221, 561, 629 |
| 13 | 403, 107, 221, 187, 629 |
| 17 | 31, 107, 17, 187, 629 |
| 31, 107, 1, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 31 x 107 x 1 x 11 x 37 = 1790125194
Therefore, the lowest common multiple of 806,642,442,561,629 is 1790125194.
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.
806 x 642 x 442 x 561 x 629 = 80706004246296
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
642 : 1, 2, 3, 6, 107, 214, 321, 642
442 : 1, 2, 13, 17, 26, 34, 221, 442
561 : 1, 3, 11, 17, 33, 51, 187, 561
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,642,442,561,629, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
642:2x 3x 107
442:2x 13x 17
561:3x 11x 17
629:17x 37
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 13x 17x 17 = 45084
Therefore, the value for common factors is 45084.
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 = 80706004246296/(1x45084)
LCM = 80706004246296/45084
LCM = 1790125194
Thus, we can understand that the LCM of 806,642,442,561,629 is 1790125194.
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FAQs on LCM of 806, 642, 442, 561, 629
1. What is the LCM of 806, 642, 442, 561, 629?
Answer: LCM of 806, 642, 442, 561, 629 is 1790125194.
2. How to calculate the LCM of 806, 642, 442, 561, 629?
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 806, 642, 442, 561, 629.
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}.