Find the LCM of 957, 959, 874, 348, 717 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 957, 959, 874, 348, 717. So, keep reading to learn more.
Given numbers are 957,959,874,348,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,959,874,348,717 is 383415684036.
Find LCM of 957,959,874,348,717 with Prime Factorization
2 | 957, 959, 874, 348, 717 |
3 | 957, 959, 437, 174, 717 |
29 | 319, 959, 437, 58, 239 |
11, 959, 437, 2, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 11 x 959 x 437 x 2 x 239 = 383415684036
Therefore, the lowest common multiple of 957,959,874,348,717 is 383415684036.
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.
957 x 959 x 874 x 348 x 717 = 200142987066792
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
959 : 1, 7, 137, 959
874 : 1, 2, 19, 23, 38, 46, 437, 874
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,959,874,348,717, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
959:7x 137
874:2x 19x 23
348:2x 2x 3x 29
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 29 = 522
Therefore, the value for common factors is 522.
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 = 200142987066792/(1x522)
LCM = 200142987066792/522
LCM = 383415684036
Thus, we can understand that the LCM of 957,959,874,348,717 is 383415684036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 959, 874, 348, 717?
Answer: LCM of 957, 959, 874, 348, 717 is 383415684036.
2. How to calculate the LCM of 957, 959, 874, 348, 717?
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 957, 959, 874, 348, 717.
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}.