Find the LCM of 227, 450, 638, 624, 963 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, 450, 638, 624, 963. So, keep reading to learn more.
Given numbers are 227,450,638,624,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,450,638,624,963 is 362615338800.
Find LCM of 227,450,638,624,963 with Prime Factorization
2 | 227, 450, 638, 624, 963 |
3 | 227, 225, 319, 312, 963 |
3 | 227, 75, 319, 104, 321 |
227, 25, 319, 104, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 227 x 25 x 319 x 104 x 107 = 362615338800
Therefore, the lowest common multiple of 227,450,638,624,963 is 362615338800.
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 450 x 638 x 624 x 963 = 39162456590400
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
638 : 1, 2, 11, 22, 29, 58, 319, 638
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,450,638,624,963, is 1.
Now, the common factors can be found like this.
227:227
450:2x 3x 3x 5x 5
638:2x 11x 29
624:2x 2x 2x 2x 3x 13
963:3x 3x 107
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 39162456590400/(1x108)
LCM = 39162456590400/108
LCM = 362615338800
Thus, we can understand that the LCM of 227,450,638,624,963 is 362615338800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 450, 638, 624, 963?
Answer: LCM of 227, 450, 638, 624, 963 is 362615338800.
2. How to calculate the LCM of 227, 450, 638, 624, 963?
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, 450, 638, 624, 963.
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}.