Find the LCM of 806, 782, 200, 825, 820 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, 782, 200, 825, 820. So, keep reading to learn more.
Given numbers are 806,782,200,825,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,782,200,825,820 is 42639253800.
Find LCM of 806,782,200,825,820 with Prime Factorization
2 | 806, 782, 200, 825, 820 |
2 | 403, 391, 100, 825, 410 |
5 | 403, 391, 50, 825, 205 |
5 | 403, 391, 10, 165, 41 |
403, 391, 2, 33, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 403 x 391 x 2 x 33 x 41 = 42639253800
Therefore, the lowest common multiple of 806,782,200,825,820 is 42639253800.
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 782 x 200 x 825 x 820 = 85278507600000
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,782,200,825,820, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
782:2x 17x 23
200:2x 2x 2x 5x 5
825:3x 5x 5x 11
820:2x 2x 5x 41
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 2x 2x 5x 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 85278507600000/(1x2000)
LCM = 85278507600000/2000
LCM = 42639253800
Thus, we can understand that the LCM of 806,782,200,825,820 is 42639253800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 782, 200, 825, 820?
Answer: LCM of 806, 782, 200, 825, 820 is 42639253800.
2. How to calculate the LCM of 806, 782, 200, 825, 820?
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, 782, 200, 825, 820.
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}.