Find the LCM of 909, 847, 835, 973, 605 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 909, 847, 835, 973, 605. So, keep reading to learn more.
Given numbers are 909,847,835,973,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,847,835,973,605 is 89361112995.
Find LCM of 909,847,835,973,605 with Prime Factorization
5 | 909, 847, 835, 973, 605 |
7 | 909, 847, 167, 973, 121 |
11 | 909, 121, 167, 139, 121 |
11 | 909, 11, 167, 139, 11 |
909, 1, 167, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 11 x 909 x 1 x 167 x 139 x 1 = 89361112995
Therefore, the lowest common multiple of 909,847,835,973,605 is 89361112995.
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.
909 x 847 x 835 x 973 x 605 = 378444313533825
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.
909 : 1, 3, 9, 101, 303, 909
847 : 1, 7, 11, 77, 121, 847
835 : 1, 5, 167, 835
973 : 1, 7, 139, 973
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,847,835,973,605, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
847:7x 11x 11
835:5x 167
973:7x 139
605:5x 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 7x 11x 11 = 4235
Therefore, the value for common factors is 4235.
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 = 378444313533825/(1x4235)
LCM = 378444313533825/4235
LCM = 89361112995
Thus, we can understand that the LCM of 909,847,835,973,605 is 89361112995.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 847, 835, 973, 605?
Answer: LCM of 909, 847, 835, 973, 605 is 89361112995.
2. How to calculate the LCM of 909, 847, 835, 973, 605?
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 909, 847, 835, 973, 605.
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}.