Find the LCM of 227, 416, 465, 442, 228 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, 416, 465, 442, 228. So, keep reading to learn more.
Given numbers are 227,416,465,442,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,416,465,442,228 is 14183214240.
Find LCM of 227,416,465,442,228 with Prime Factorization
2 | 227, 416, 465, 442, 228 |
2 | 227, 208, 465, 221, 114 |
3 | 227, 104, 465, 221, 57 |
13 | 227, 104, 155, 221, 19 |
227, 8, 155, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 227 x 8 x 155 x 17 x 19 = 14183214240
Therefore, the lowest common multiple of 227,416,465,442,228 is 14183214240.
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 416 x 465 x 442 x 228 = 4425162842880
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
465 : 1, 3, 5, 15, 31, 93, 155, 465
442 : 1, 2, 13, 17, 26, 34, 221, 442
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,416,465,442,228, is 1.
Now, the common factors can be found like this.
227:227
416:2x 2x 2x 2x 2x 13
465:3x 5x 31
442:2x 13x 17
228:2x 2x 3x 19
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 4425162842880/(1x312)
LCM = 4425162842880/312
LCM = 14183214240
Thus, we can understand that the LCM of 227,416,465,442,228 is 14183214240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 416, 465, 442, 228?
Answer: LCM of 227, 416, 465, 442, 228 is 14183214240.
2. How to calculate the LCM of 227, 416, 465, 442, 228?
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, 416, 465, 442, 228.
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}.