Find the LCM of 227, 217, 454, 162 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, 217, 454, 162. So, keep reading to learn more.
Given numbers are 227,217,454,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,217,454,162 is 7979958.
Find LCM of 227,217,454,162 with Prime Factorization
2 | 227, 217, 454, 162 |
227 | 227, 217, 227, 81 |
1, 217, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 227 x 1 x 217 x 1 x 81 = 7979958
Therefore, the lowest common multiple of 227,217,454,162 is 7979958.
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 217 x 454 x 162 = 3622900932
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
217 : 1, 7, 31, 217
454 : 1, 2, 227, 454
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,217,454,162, is 1.
Now, the common factors can be found like this.
227:227
217:7x 31
454:2x 227
162:2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 227 = 454
Therefore, the value for common factors is 454.
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 = 3622900932/(1x454)
LCM = 3622900932/454
LCM = 7979958
Thus, we can understand that the LCM of 227,217,454,162 is 7979958.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 217, 454, 162?
Answer: LCM of 227, 217, 454, 162 is 7979958.
2. How to calculate the LCM of 227, 217, 454, 162?
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, 217, 454, 162.
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}.