Find the LCM of 712, 591, 985, 405, 699 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 712, 591, 985, 405, 699. So, keep reading to learn more.
Given numbers are 712,591,985,405,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,591,985,405,699 is 13236012360.
Find LCM of 712,591,985,405,699 with Prime Factorization
3 | 712, 591, 985, 405, 699 |
5 | 712, 197, 985, 135, 233 |
197 | 712, 197, 197, 27, 233 |
712, 1, 1, 27, 233 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 197 x 712 x 1 x 1 x 27 x 233 = 13236012360
Therefore, the lowest common multiple of 712,591,985,405,699 is 13236012360.
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.
712 x 591 x 985 x 405 x 699 = 117337249571400
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
591 : 1, 3, 197, 591
985 : 1, 5, 197, 985
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,591,985,405,699, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
591:3x 197
985:5x 197
405:3x 3x 3x 3x 5
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 197 = 8865
Therefore, the value for common factors is 8865.
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 = 117337249571400/(1x8865)
LCM = 117337249571400/8865
LCM = 13236012360
Thus, we can understand that the LCM of 712,591,985,405,699 is 13236012360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 591, 985, 405, 699?
Answer: LCM of 712, 591, 985, 405, 699 is 13236012360.
2. How to calculate the LCM of 712, 591, 985, 405, 699?
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 712, 591, 985, 405, 699.
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}.