Find the LCM of 717, 331, 605, 968 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, 331, 605, 968. So, keep reading to learn more.
Given numbers are 717,331,605,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,331,605,968 is 1148662680.
Find LCM of 717,331,605,968 with Prime Factorization
11 | 717, 331, 605, 968 |
11 | 717, 331, 55, 88 |
717, 331, 5, 8 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 717 x 331 x 5 x 8 = 1148662680
Therefore, the lowest common multiple of 717,331,605,968 is 1148662680.
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 331 x 605 x 968 = 138988184280
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
331 : 1, 331
605 : 1, 5, 11, 55, 121, 605
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,331,605,968, is 1.
Now, the common factors can be found like this.
717:3x 239
331:331
605:5x 11x 11
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 138988184280/(1x121)
LCM = 138988184280/121
LCM = 1148662680
Thus, we can understand that the LCM of 717,331,605,968 is 1148662680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 331, 605, 968?
Answer: LCM of 717, 331, 605, 968 is 1148662680.
2. How to calculate the LCM of 717, 331, 605, 968?
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, 331, 605, 968.
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}.