Find the LCM of 717, 731, 344, 957 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, 731, 344, 957. So, keep reading to learn more.
Given numbers are 717,731,344,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,731,344,957 is 1337572104.
Find LCM of 717,731,344,957 with Prime Factorization
3 | 717, 731, 344, 957 |
43 | 239, 731, 344, 319 |
239, 17, 8, 319 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 239 x 17 x 8 x 319 = 1337572104
Therefore, the lowest common multiple of 717,731,344,957 is 1337572104.
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 731 x 344 x 957 = 172546801416
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
731 : 1, 17, 43, 731
344 : 1, 2, 4, 8, 43, 86, 172, 344
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,731,344,957, is 1.
Now, the common factors can be found like this.
717:3x 239
731:17x 43
344:2x 2x 2x 43
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 172546801416/(1x129)
LCM = 172546801416/129
LCM = 1337572104
Thus, we can understand that the LCM of 717,731,344,957 is 1337572104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 731, 344, 957?
Answer: LCM of 717, 731, 344, 957 is 1337572104.
2. How to calculate the LCM of 717, 731, 344, 957?
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, 731, 344, 957.
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}.