Find the LCM of 909, 481, 415, 181, 735 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 909, 481, 415, 181, 735. So, keep reading to learn more.
Given numbers are 909,481,415,181,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,481,415,181,735 is 1609280360415.
Find LCM of 909,481,415,181,735 with Prime Factorization
3 | 909, 481, 415, 181, 735 |
5 | 303, 481, 415, 181, 245 |
303, 481, 83, 181, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 303 x 481 x 83 x 181 x 49 = 1609280360415
Therefore, the lowest common multiple of 909,481,415,181,735 is 1609280360415.
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.
909 x 481 x 415 x 181 x 735 = 24139205406225
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.
909 : 1, 3, 9, 101, 303, 909
481 : 1, 13, 37, 481
415 : 1, 5, 83, 415
181 : 1, 181
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,481,415,181,735, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
481:13x 37
415:5x 83
181:181
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 24139205406225/(1x15)
LCM = 24139205406225/15
LCM = 1609280360415
Thus, we can understand that the LCM of 909,481,415,181,735 is 1609280360415.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 481, 415, 181, 735?
Answer: LCM of 909, 481, 415, 181, 735 is 1609280360415.
2. How to calculate the LCM of 909, 481, 415, 181, 735?
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 909, 481, 415, 181, 735.
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}.