Find the LCM of 494, 208, 459, 424, 216 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, 208, 459, 424, 216. So, keep reading to learn more.
Given numbers are 494,208,459,424,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,208,459,424,216 is 96140304.
Find LCM of 494,208,459,424,216 with Prime Factorization
2 | 494, 208, 459, 424, 216 |
2 | 247, 104, 459, 212, 108 |
2 | 247, 52, 459, 106, 54 |
3 | 247, 26, 459, 53, 27 |
3 | 247, 26, 153, 53, 9 |
3 | 247, 26, 51, 53, 3 |
13 | 247, 26, 17, 53, 1 |
19, 2, 17, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 19 x 2 x 17 x 53 x 1 = 96140304
Therefore, the lowest common multiple of 494,208,459,424,216 is 96140304.
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 208 x 459 x 424 x 216 = 4319391578112
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
459 : 1, 3, 9, 17, 27, 51, 153, 459
424 : 1, 2, 4, 8, 53, 106, 212, 424
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,208,459,424,216, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
208:2x 2x 2x 2x 13
459:3x 3x 3x 17
424:2x 2x 2x 53
216:2x 2x 2x 3x 3x 3
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 2x 2x 2x 3x 3x 3x 13 = 44928
Therefore, the value for common factors is 44928.
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 = 4319391578112/(1x44928)
LCM = 4319391578112/44928
LCM = 96140304
Thus, we can understand that the LCM of 494,208,459,424,216 is 96140304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 208, 459, 424, 216?
Answer: LCM of 494, 208, 459, 424, 216 is 96140304.
2. How to calculate the LCM of 494, 208, 459, 424, 216?
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, 208, 459, 424, 216.
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}.