Find the LCM of 494, 333, 972, 380, 481 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 494, 333, 972, 380, 481. So, keep reading to learn more.
Given numbers are 494,333,972,380,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,333,972,380,481 is 44415540.
Find LCM of 494,333,972,380,481 with Prime Factorization
2 | 494, 333, 972, 380, 481 |
2 | 247, 333, 486, 190, 481 |
3 | 247, 333, 243, 95, 481 |
3 | 247, 111, 81, 95, 481 |
13 | 247, 37, 27, 95, 481 |
19 | 19, 37, 27, 95, 37 |
37 | 1, 37, 27, 5, 37 |
1, 1, 27, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 19 x 37 x 1 x 1 x 27 x 5 x 1 = 44415540
Therefore, the lowest common multiple of 494,333,972,380,481 is 44415540.
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.
494 x 333 x 972 x 380 x 481 = 29225780644320
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
333 : 1, 3, 9, 37, 111, 333
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,333,972,380,481, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
333:3x 3x 37
972:2x 2x 3x 3x 3x 3x 3
380:2x 2x 5x 19
481:13x 37
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 3x 3x 13x 19x 37 = 658008
Therefore, the value for common factors is 658008.
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 = 29225780644320/(1x658008)
LCM = 29225780644320/658008
LCM = 44415540
Thus, we can understand that the LCM of 494,333,972,380,481 is 44415540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 333, 972, 380, 481?
Answer: LCM of 494, 333, 972, 380, 481 is 44415540.
2. How to calculate the LCM of 494, 333, 972, 380, 481?
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 494, 333, 972, 380, 481.
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}.