Find the LCM of 227, 484, 836, 393, 396 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, 484, 836, 393, 396. So, keep reading to learn more.
Given numbers are 227,484,836,393,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,484,836,393,396 is 2461153068.
Find LCM of 227,484,836,393,396 with Prime Factorization
2 | 227, 484, 836, 393, 396 |
2 | 227, 242, 418, 393, 198 |
3 | 227, 121, 209, 393, 99 |
11 | 227, 121, 209, 131, 33 |
227, 11, 19, 131, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 227 x 11 x 19 x 131 x 3 = 2461153068
Therefore, the lowest common multiple of 227,484,836,393,396 is 2461153068.
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 484 x 836 x 393 x 396 = 14294377018944
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
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
393 : 1, 3, 131, 393
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,484,836,393,396, is 1.
Now, the common factors can be found like this.
227:227
484:2x 2x 11x 11
836:2x 2x 11x 19
393:3x 131
396:2x 2x 3x 3x 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 2x 2x 2x 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 14294377018944/(1x5808)
LCM = 14294377018944/5808
LCM = 2461153068
Thus, we can understand that the LCM of 227,484,836,393,396 is 2461153068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 484, 836, 393, 396?
Answer: LCM of 227, 484, 836, 393, 396 is 2461153068.
2. How to calculate the LCM of 227, 484, 836, 393, 396?
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, 484, 836, 393, 396.
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}.