Find the LCM of 227, 445, 713, 966 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, 445, 713, 966. So, keep reading to learn more.
Given numbers are 227,445,713,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,445,713,966 is 3024995190.
Find LCM of 227,445,713,966 with Prime Factorization
23 | 227, 445, 713, 966 |
227, 445, 31, 42 |
Multiply the prime numbers at the bottom and the left side.
23 x 227 x 445 x 31 x 42 = 3024995190
Therefore, the lowest common multiple of 227,445,713,966 is 3024995190.
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 445 x 713 x 966 = 69574889370
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
445 : 1, 5, 89, 445
713 : 1, 23, 31, 713
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,445,713,966, is 1.
Now, the common factors can be found like this.
227:227
445:5x 89
713:23x 31
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 69574889370/(1x23)
LCM = 69574889370/23
LCM = 3024995190
Thus, we can understand that the LCM of 227,445,713,966 is 3024995190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 445, 713, 966?
Answer: LCM of 227, 445, 713, 966 is 3024995190.
2. How to calculate the LCM of 227, 445, 713, 966?
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, 445, 713, 966.
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}.