Find the LCM of 405, 373, 973, 539, 695 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 405, 373, 973, 539, 695. So, keep reading to learn more.
Given numbers are 405,373,973,539,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,373,973,539,695 is 11317940865.
Find LCM of 405,373,973,539,695 with Prime Factorization
5 | 405, 373, 973, 539, 695 |
7 | 81, 373, 973, 539, 139 |
139 | 81, 373, 139, 77, 139 |
81, 373, 1, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 139 x 81 x 373 x 1 x 77 x 1 = 11317940865
Therefore, the lowest common multiple of 405,373,973,539,695 is 11317940865.
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.
405 x 373 x 973 x 539 x 695 = 55061782308225
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
373 : 1, 373
973 : 1, 7, 139, 973
539 : 1, 7, 11, 49, 77, 539
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,373,973,539,695, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
373:373
973:7x 139
539:7x 7x 11
695:5x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 139 = 4865
Therefore, the value for common factors is 4865.
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 = 55061782308225/(1x4865)
LCM = 55061782308225/4865
LCM = 11317940865
Thus, we can understand that the LCM of 405,373,973,539,695 is 11317940865.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 373, 973, 539, 695?
Answer: LCM of 405, 373, 973, 539, 695 is 11317940865.
2. How to calculate the LCM of 405, 373, 973, 539, 695?
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 405, 373, 973, 539, 695.
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}.