Find the LCM of 841, 917, 404, 913, 522 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 841, 917, 404, 913, 522. So, keep reading to learn more.
Given numbers are 841,917,404,913,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,917,404,913,522 is 2560118002596.
Find LCM of 841,917,404,913,522 with Prime Factorization
2 | 841, 917, 404, 913, 522 |
29 | 841, 917, 202, 913, 261 |
29, 917, 202, 913, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 29 x 917 x 202 x 913 x 9 = 2560118002596
Therefore, the lowest common multiple of 841,917,404,913,522 is 2560118002596.
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.
841 x 917 x 404 x 913 x 522 = 148486844150568
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.
841 : 1, 29, 841
917 : 1, 7, 131, 917
404 : 1, 2, 4, 101, 202, 404
913 : 1, 11, 83, 913
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,917,404,913,522, is 1.
Now, the common factors can be found like this.
841:29x 29
917:7x 131
404:2x 2x 101
913:11x 83
522:2x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 148486844150568/(1x58)
LCM = 148486844150568/58
LCM = 2560118002596
Thus, we can understand that the LCM of 841,917,404,913,522 is 2560118002596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 841, 917, 404, 913, 522?
Answer: LCM of 841, 917, 404, 913, 522 is 2560118002596.
2. How to calculate the LCM of 841, 917, 404, 913, 522?
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 841, 917, 404, 913, 522.
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}.