Find the LCM of 227, 150, 384, 468, 465 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, 150, 384, 468, 465. So, keep reading to learn more.
Given numbers are 227,150,384,468,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,150,384,468,465 is 2634652800.
Find LCM of 227,150,384,468,465 with Prime Factorization
2 | 227, 150, 384, 468, 465 |
2 | 227, 75, 192, 234, 465 |
3 | 227, 75, 96, 117, 465 |
5 | 227, 25, 32, 39, 155 |
227, 5, 32, 39, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 227 x 5 x 32 x 39 x 31 = 2634652800
Therefore, the lowest common multiple of 227,150,384,468,465 is 2634652800.
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 150 x 384 x 468 x 465 = 2845425024000
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
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,150,384,468,465, is 1.
Now, the common factors can be found like this.
227:227
150:2x 3x 5x 5
384:2x 2x 2x 2x 2x 2x 2x 3
468:2x 2x 3x 3x 13
465:3x 5x 31
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 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 2845425024000/(1x1080)
LCM = 2845425024000/1080
LCM = 2634652800
Thus, we can understand that the LCM of 227,150,384,468,465 is 2634652800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 150, 384, 468, 465?
Answer: LCM of 227, 150, 384, 468, 465 is 2634652800.
2. How to calculate the LCM of 227, 150, 384, 468, 465?
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, 150, 384, 468, 465.
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}.