LCM of 311, 148, 521, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 148, 521, 296 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 311, 148, 521, 296. So, keep reading to learn more.
Given numbers are 311,148,521,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,148,521,296 is 47961176.
Find LCM of 311,148,521,296 with Prime Factorization
| 2 | 311, 148, 521, 296 |
| 2 | 311, 74, 521, 148 |
| 37 | 311, 37, 521, 74 |
| 311, 1, 521, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 311 x 1 x 521 x 2 = 47961176
Therefore, the lowest common multiple of 311,148,521,296 is 47961176.
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.
311 x 148 x 521 x 296 = 7098254048
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.
311 : 1, 311
148 : 1, 2, 4, 37, 74, 148
521 : 1, 521
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,148,521,296, is 1.
Now, the common factors can be found like this.
311:311
148:2x 2x 37
521:521
296:2x 2x 2x 37
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 37 = 148
Therefore, the value for common factors is 148.
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 = 7098254048/(1x148)
LCM = 7098254048/148
LCM = 47961176
Thus, we can understand that the LCM of 311,148,521,296 is 47961176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 148, 521, 296
1. What is the LCM of 311, 148, 521, 296?
Answer: LCM of 311, 148, 521, 296 is 47961176.
2. How to calculate the LCM of 311, 148, 521, 296?
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 311, 148, 521, 296.
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}.