LCM of 468, 784, 481, 611, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 784, 481, 611, 228 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 468, 784, 481, 611, 228. So, keep reading to learn more.
Given numbers are 468,784,481,611,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,784,481,611,228 is 3030784848.
Find LCM of 468,784,481,611,228 with Prime Factorization
| 2 | 468, 784, 481, 611, 228 |
| 2 | 234, 392, 481, 611, 114 |
| 3 | 117, 196, 481, 611, 57 |
| 13 | 39, 196, 481, 611, 19 |
| 3, 196, 37, 47, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 3 x 196 x 37 x 47 x 19 = 3030784848
Therefore, the lowest common multiple of 468,784,481,611,228 is 3030784848.
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.
468 x 784 x 481 x 611 x 228 = 24585726686976
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
481 : 1, 13, 37, 481
611 : 1, 13, 47, 611
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,784,481,611,228, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
784:2x 2x 2x 2x 7x 7
481:13x 37
611:13x 47
228:2x 2x 3x 19
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 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 24585726686976/(1x8112)
LCM = 24585726686976/8112
LCM = 3030784848
Thus, we can understand that the LCM of 468,784,481,611,228 is 3030784848.
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FAQs on LCM of 468, 784, 481, 611, 228
1. What is the LCM of 468, 784, 481, 611, 228?
Answer: LCM of 468, 784, 481, 611, 228 is 3030784848.
2. How to calculate the LCM of 468, 784, 481, 611, 228?
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 468, 784, 481, 611, 228.
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}.