Find the LCM of 568, 824, 408, 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 568, 824, 408, 216. So, keep reading to learn more.
Given numbers are 568,824,408,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,824,408,216 is 26853336.
Find LCM of 568,824,408,216 with Prime Factorization
2 | 568, 824, 408, 216 |
2 | 284, 412, 204, 108 |
2 | 142, 206, 102, 54 |
3 | 71, 103, 51, 27 |
71, 103, 17, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 71 x 103 x 17 x 9 = 26853336
Therefore, the lowest common multiple of 568,824,408,216 is 26853336.
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.
568 x 824 x 408 x 216 = 41246724096
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
824 : 1, 2, 4, 8, 103, 206, 412, 824
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,824,408,216, is 8.
Now, the common factors can be found like this.
568:2x 2x 2x 71
824:2x 2x 2x 103
408:2x 2x 2x 3x 17
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 3 = 192
Therefore, the value for common factors is 192.
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 = 41246724096/(8x192)
LCM = 41246724096/1536
LCM = 26853336
Thus, we can understand that the LCM of 568,824,408,216 is 26853336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 824, 408, 216?
Answer: LCM of 568, 824, 408, 216 is 26853336.
2. How to calculate the LCM of 568, 824, 408, 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 568, 824, 408, 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}.