LCM of 227, 221, 793, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 221, 793, 488 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, 221, 793, 488. So, keep reading to learn more.
Given numbers are 227,221,793,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,221,793,488 is 24481496.
Find LCM of 227,221,793,488 with Prime Factorization
| 13 | 227, 221, 793, 488 |
| 61 | 227, 17, 61, 488 |
| 227, 17, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 227 x 17 x 1 x 8 = 24481496
Therefore, the lowest common multiple of 227,221,793,488 is 24481496.
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 221 x 793 x 488 = 19413826328
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
221 : 1, 13, 17, 221
793 : 1, 13, 61, 793
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,221,793,488, is 1.
Now, the common factors can be found like this.
227:227
221:13x 17
793:13x 61
488:2x 2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 61 = 793
Therefore, the value for common factors is 793.
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 = 19413826328/(1x793)
LCM = 19413826328/793
LCM = 24481496
Thus, we can understand that the LCM of 227,221,793,488 is 24481496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 221, 793, 488
1. What is the LCM of 227, 221, 793, 488?
Answer: LCM of 227, 221, 793, 488 is 24481496.
2. How to calculate the LCM of 227, 221, 793, 488?
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, 221, 793, 488.
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}.