Find the LCM of 227, 808, 470, 332, 580 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 227, 808, 470, 332, 580. So, keep reading to learn more.
Given numbers are 227,808,470,332,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,808,470,332,580 is 103748343320.
Find LCM of 227,808,470,332,580 with Prime Factorization
2 | 227, 808, 470, 332, 580 |
2 | 227, 404, 235, 166, 290 |
5 | 227, 202, 235, 83, 145 |
227, 202, 47, 83, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 227 x 202 x 47 x 83 x 29 = 103748343320
Therefore, the lowest common multiple of 227,808,470,332,580 is 103748343320.
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.
227 x 808 x 470 x 332 x 580 = 16599734931200
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.
227 : 1, 227
808 : 1, 2, 4, 8, 101, 202, 404, 808
470 : 1, 2, 5, 10, 47, 94, 235, 470
332 : 1, 2, 4, 83, 166, 332
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,808,470,332,580, is 1.
Now, the common factors can be found like this.
227:227
808:2x 2x 2x 101
470:2x 5x 47
332:2x 2x 83
580:2x 2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 16599734931200/(1x160)
LCM = 16599734931200/160
LCM = 103748343320
Thus, we can understand that the LCM of 227,808,470,332,580 is 103748343320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 808, 470, 332, 580?
Answer: LCM of 227, 808, 470, 332, 580 is 103748343320.
2. How to calculate the LCM of 227, 808, 470, 332, 580?
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 227, 808, 470, 332, 580.
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}.