Find the LCM of 1017, 5763 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 1017, 5763. So, keep reading to learn more.
Given numbers are 1017,5763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1017,5763 is 17289.
Find LCM of 1017,5763 with Prime Factorization
| 3 | 1017, 5763 |
| 113 | 339, 1921 |
| 3, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 3 x 17 = 17289
Therefore, the lowest common multiple of 1017,5763 is 17289.
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.
1017 x 5763 = 5860971
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.
1017 : 1, 3, 9, 113, 339, 1017
5763 : 1, 3, 17, 51, 113, 339, 1921, 5763
339 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1017,5763, is 339.
Now, the common factors can be found like this.
1017:3x 3x 113
5763:3x 17x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 5860971/(339x1)
LCM = 5860971/339
LCM = 17289
Thus, we can understand that the LCM of 1017,5763 is 17289.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1017, 5763?
Answer: LCM of 1017, 5763 is 17289.
2. How to calculate the LCM of 1017, 5763?
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 1017, 5763.
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}.