Find the LCM of 459, 481, 646, 782, 204 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 459, 481, 646, 782, 204. So, keep reading to learn more.
Given numbers are 459,481,646,782,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,481,646,782,204 is 385921692.
Find LCM of 459,481,646,782,204 with Prime Factorization
2 | 459, 481, 646, 782, 204 |
3 | 459, 481, 323, 391, 102 |
17 | 153, 481, 323, 391, 34 |
9, 481, 19, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 9 x 481 x 19 x 23 x 2 = 385921692
Therefore, the lowest common multiple of 459,481,646,782,204 is 385921692.
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.
459 x 481 x 646 x 782 x 204 = 22752399273552
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
481 : 1, 13, 37, 481
646 : 1, 2, 17, 19, 34, 38, 323, 646
782 : 1, 2, 17, 23, 34, 46, 391, 782
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,481,646,782,204, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
481:13x 37
646:2x 17x 19
782:2x 17x 23
204:2x 2x 3x 17
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 17x 17x 17 = 58956
Therefore, the value for common factors is 58956.
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 = 22752399273552/(1x58956)
LCM = 22752399273552/58956
LCM = 385921692
Thus, we can understand that the LCM of 459,481,646,782,204 is 385921692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 481, 646, 782, 204?
Answer: LCM of 459, 481, 646, 782, 204 is 385921692.
2. How to calculate the LCM of 459, 481, 646, 782, 204?
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 459, 481, 646, 782, 204.
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}.