Find the LCM of 454, 515, 515, 644, 165 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 454, 515, 515, 644, 165. So, keep reading to learn more.
Given numbers are 454,515,515,644,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,515,515,644,165 is 2484465060.
Find LCM of 454,515,515,644,165 with Prime Factorization
2 | 454, 515, 515, 644, 165 |
5 | 227, 515, 515, 322, 165 |
103 | 227, 103, 103, 322, 33 |
227, 1, 1, 322, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 103 x 227 x 1 x 1 x 322 x 33 = 2484465060
Therefore, the lowest common multiple of 454,515,515,644,165 is 2484465060.
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.
454 x 515 x 515 x 644 x 165 = 12794995059000
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.
454 : 1, 2, 227, 454
515 : 1, 5, 103, 515
515 : 1, 5, 103, 515
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,515,515,644,165, is 1.
Now, the common factors can be found like this.
454:2x 227
515:5x 103
515:5x 103
644:2x 2x 7x 23
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 103 = 5150
Therefore, the value for common factors is 5150.
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 = 12794995059000/(1x5150)
LCM = 12794995059000/5150
LCM = 2484465060
Thus, we can understand that the LCM of 454,515,515,644,165 is 2484465060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 515, 515, 644, 165?
Answer: LCM of 454, 515, 515, 644, 165 is 2484465060.
2. How to calculate the LCM of 454, 515, 515, 644, 165?
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 454, 515, 515, 644, 165.
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}.