Find the LCM of 582, 468, 777, 396, 442 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 582, 468, 777, 396, 442. So, keep reading to learn more.
Given numbers are 582,468,777,396,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,468,777,396,442 is 2198664468.
Find LCM of 582,468,777,396,442 with Prime Factorization
2 | 582, 468, 777, 396, 442 |
2 | 291, 234, 777, 198, 221 |
3 | 291, 117, 777, 99, 221 |
3 | 97, 39, 259, 33, 221 |
13 | 97, 13, 259, 11, 221 |
97, 1, 259, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 97 x 1 x 259 x 11 x 17 = 2198664468
Therefore, the lowest common multiple of 582,468,777,396,442 is 2198664468.
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.
582 x 468 x 777 x 396 x 442 = 37043098956864
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
777 : 1, 3, 7, 21, 37, 111, 259, 777
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,468,777,396,442, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
468:2x 2x 3x 3x 13
777:3x 7x 37
396:2x 2x 3x 3x 11
442:2x 13x 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 2x 2x 3x 3x 3x 3x 13 = 16848
Therefore, the value for common factors is 16848.
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 = 37043098956864/(1x16848)
LCM = 37043098956864/16848
LCM = 2198664468
Thus, we can understand that the LCM of 582,468,777,396,442 is 2198664468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 468, 777, 396, 442?
Answer: LCM of 582, 468, 777, 396, 442 is 2198664468.
2. How to calculate the LCM of 582, 468, 777, 396, 442?
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 582, 468, 777, 396, 442.
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}.