Find the LCM of 717, 697, 323, 771 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, 697, 323, 771. So, keep reading to learn more.
Given numbers are 717,697,323,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,697,323,771 is 2440274367.
Find LCM of 717,697,323,771 with Prime Factorization
3 | 717, 697, 323, 771 |
17 | 239, 697, 323, 257 |
239, 41, 19, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 239 x 41 x 19 x 257 = 2440274367
Therefore, the lowest common multiple of 717,697,323,771 is 2440274367.
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 697 x 323 x 771 = 124453992717
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
697 : 1, 17, 41, 697
323 : 1, 17, 19, 323
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,697,323,771, is 1.
Now, the common factors can be found like this.
717:3x 239
697:17x 41
323:17x 19
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 124453992717/(1x51)
LCM = 124453992717/51
LCM = 2440274367
Thus, we can understand that the LCM of 717,697,323,771 is 2440274367.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 697, 323, 771?
Answer: LCM of 717, 697, 323, 771 is 2440274367.
2. How to calculate the LCM of 717, 697, 323, 771?
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, 697, 323, 771.
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}.