LCM of 814, 417, 763, 556, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 417, 763, 556, 782 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 814, 417, 763, 556, 782. So, keep reading to learn more.
Given numbers are 814,417,763,556,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,417,763,556,782 is 202531113708.
Find LCM of 814,417,763,556,782 with Prime Factorization
| 2 | 814, 417, 763, 556, 782 |
| 139 | 407, 417, 763, 278, 391 |
| 407, 3, 763, 2, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 407 x 3 x 763 x 2 x 391 = 202531113708
Therefore, the lowest common multiple of 814,417,763,556,782 is 202531113708.
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.
814 x 417 x 763 x 556 x 782 = 112607299221648
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
417 : 1, 3, 139, 417
763 : 1, 7, 109, 763
556 : 1, 2, 4, 139, 278, 556
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,417,763,556,782, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
417:3x 139
763:7x 109
556:2x 2x 139
782:2x 17x 23
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 139 = 556
Therefore, the value for common factors is 556.
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 = 112607299221648/(1x556)
LCM = 112607299221648/556
LCM = 202531113708
Thus, we can understand that the LCM of 814,417,763,556,782 is 202531113708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 417, 763, 556, 782
1. What is the LCM of 814, 417, 763, 556, 782?
Answer: LCM of 814, 417, 763, 556, 782 is 202531113708.
2. How to calculate the LCM of 814, 417, 763, 556, 782?
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 814, 417, 763, 556, 782.
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}.