Find the LCM of 513, 481, 321, 494, 880 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 513, 481, 321, 494, 880. So, keep reading to learn more.
Given numbers are 513,481,321,494,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,481,321,494,880 is 23234262480.
Find LCM of 513,481,321,494,880 with Prime Factorization
2 | 513, 481, 321, 494, 880 |
3 | 513, 481, 321, 247, 440 |
13 | 171, 481, 107, 247, 440 |
19 | 171, 37, 107, 19, 440 |
9, 37, 107, 1, 440 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 9 x 37 x 107 x 1 x 440 = 23234262480
Therefore, the lowest common multiple of 513,481,321,494,880 is 23234262480.
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.
513 x 481 x 321 x 494 x 880 = 34433176995360
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
481 : 1, 13, 37, 481
321 : 1, 3, 107, 321
494 : 1, 2, 13, 19, 26, 38, 247, 494
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,481,321,494,880, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
481:13x 37
321:3x 107
494:2x 13x 19
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 19 = 1482
Therefore, the value for common factors is 1482.
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 = 34433176995360/(1x1482)
LCM = 34433176995360/1482
LCM = 23234262480
Thus, we can understand that the LCM of 513,481,321,494,880 is 23234262480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 481, 321, 494, 880?
Answer: LCM of 513, 481, 321, 494, 880 is 23234262480.
2. How to calculate the LCM of 513, 481, 321, 494, 880?
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 513, 481, 321, 494, 880.
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}.