LCM of 296, 481, 793, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 481, 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 296, 481, 793, 488. So, keep reading to learn more.
Given numbers are 296,481,793,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,481,793,488 is 234728.
Find LCM of 296,481,793,488 with Prime Factorization
| 2 | 296, 481, 793, 488 |
| 2 | 148, 481, 793, 244 |
| 2 | 74, 481, 793, 122 |
| 13 | 37, 481, 793, 61 |
| 37 | 37, 37, 61, 61 |
| 61 | 1, 1, 61, 61 |
| 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 37 x 61 x 1 x 1 x 1 x 1 = 234728
Therefore, the lowest common multiple of 296,481,793,488 is 234728.
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.
296 x 481 x 793 x 488 = 55097233984
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
481 : 1, 13, 37, 481
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 296,481,793,488, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
481:13x 37
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.
2x 2x 2x 13x 37x 61 = 234728
Therefore, the value for common factors is 234728.
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 = 55097233984/(1x234728)
LCM = 55097233984/234728
LCM = 234728
Thus, we can understand that the LCM of 296,481,793,488 is 234728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 296, 481, 793, 488
1. What is the LCM of 296, 481, 793, 488?
Answer: LCM of 296, 481, 793, 488 is 234728.
2. How to calculate the LCM of 296, 481, 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 296, 481, 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}.