Find the LCM of 717, 528, 488, 252, 831 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 717, 528, 488, 252, 831. So, keep reading to learn more.
Given numbers are 717,528,488,252,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,528,488,252,831 is 44777590704.
Find LCM of 717,528,488,252,831 with Prime Factorization
2 | 717, 528, 488, 252, 831 |
2 | 717, 264, 244, 126, 831 |
2 | 717, 132, 122, 63, 831 |
3 | 717, 66, 61, 63, 831 |
239, 22, 61, 21, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 239 x 22 x 61 x 21 x 277 = 44777590704
Therefore, the lowest common multiple of 717,528,488,252,831 is 44777590704.
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.
717 x 528 x 488 x 252 x 831 = 38687838368256
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.
717 : 1, 3, 239, 717
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
488 : 1, 2, 4, 8, 61, 122, 244, 488
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,528,488,252,831, is 1.
Now, the common factors can be found like this.
717:3x 239
528:2x 2x 2x 2x 3x 11
488:2x 2x 2x 61
252:2x 2x 3x 3x 7
831:3x 277
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 38687838368256/(1x864)
LCM = 38687838368256/864
LCM = 44777590704
Thus, we can understand that the LCM of 717,528,488,252,831 is 44777590704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 528, 488, 252, 831?
Answer: LCM of 717, 528, 488, 252, 831 is 44777590704.
2. How to calculate the LCM of 717, 528, 488, 252, 831?
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 717, 528, 488, 252, 831.
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}.