Find the LCM of 713, 913, 923, 829, 221 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 713, 913, 923, 829, 221. So, keep reading to learn more.
Given numbers are 713,913,923,829,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,913,923,829,221 is 8467699945991.
Find LCM of 713,913,923,829,221 with Prime Factorization
13 | 713, 913, 923, 829, 221 |
713, 913, 71, 829, 17 |
Multiply the prime numbers at the bottom and the left side.
13 x 713 x 913 x 71 x 829 x 17 = 8467699945991
Therefore, the lowest common multiple of 713,913,923,829,221 is 8467699945991.
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.
713 x 913 x 923 x 829 x 221 = 110080099297883
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.
713 : 1, 23, 31, 713
913 : 1, 11, 83, 913
923 : 1, 13, 71, 923
829 : 1, 829
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,913,923,829,221, is 1.
Now, the common factors can be found like this.
713:23x 31
913:11x 83
923:13x 71
829:829
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 110080099297883/(1x13)
LCM = 110080099297883/13
LCM = 8467699945991
Thus, we can understand that the LCM of 713,913,923,829,221 is 8467699945991.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 913, 923, 829, 221?
Answer: LCM of 713, 913, 923, 829, 221 is 8467699945991.
2. How to calculate the LCM of 713, 913, 923, 829, 221?
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 713, 913, 923, 829, 221.
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}.