LCM of 784, 252, 866, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 252, 866, 717 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 784, 252, 866, 717. So, keep reading to learn more.
Given numbers are 784,252,866,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,252,866,717 is 730204272.
Find LCM of 784,252,866,717 with Prime Factorization
| 2 | 784, 252, 866, 717 |
| 2 | 392, 126, 433, 717 |
| 3 | 196, 63, 433, 717 |
| 7 | 196, 21, 433, 239 |
| 28, 3, 433, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 28 x 3 x 433 x 239 = 730204272
Therefore, the lowest common multiple of 784,252,866,717 is 730204272.
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.
784 x 252 x 866 x 717 = 122674317696
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
866 : 1, 2, 433, 866
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,252,866,717, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
252:2x 2x 3x 3x 7
866:2x 433
717:3x 239
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 7 = 168
Therefore, the value for common factors is 168.
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 = 122674317696/(1x168)
LCM = 122674317696/168
LCM = 730204272
Thus, we can understand that the LCM of 784,252,866,717 is 730204272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 784, 252, 866, 717
1. What is the LCM of 784, 252, 866, 717?
Answer: LCM of 784, 252, 866, 717 is 730204272.
2. How to calculate the LCM of 784, 252, 866, 717?
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 784, 252, 866, 717.
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}.