Find the LCM of 200, 605, 817, 317, 847 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 200, 605, 817, 317, 847. So, keep reading to learn more.
Given numbers are 200,605,817,317,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,605,817,317,847 is 43872736600.
Find LCM of 200,605,817,317,847 with Prime Factorization
5 | 200, 605, 817, 317, 847 |
11 | 40, 121, 817, 317, 847 |
11 | 40, 11, 817, 317, 77 |
40, 1, 817, 317, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 11 x 40 x 1 x 817 x 317 x 7 = 43872736600
Therefore, the lowest common multiple of 200,605,817,317,847 is 43872736600.
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.
200 x 605 x 817 x 317 x 847 = 26543005643000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
605 : 1, 5, 11, 55, 121, 605
817 : 1, 19, 43, 817
317 : 1, 317
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,605,817,317,847, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
605:5x 11x 11
817:19x 43
317:317
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 11 = 605
Therefore, the value for common factors is 605.
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 = 26543005643000/(1x605)
LCM = 26543005643000/605
LCM = 43872736600
Thus, we can understand that the LCM of 200,605,817,317,847 is 43872736600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 200, 605, 817, 317, 847?
Answer: LCM of 200, 605, 817, 317, 847 is 43872736600.
2. How to calculate the LCM of 200, 605, 817, 317, 847?
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 200, 605, 817, 317, 847.
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}.