LCM of 106, 233, 793, 144, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 233, 793, 144, 311 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 106, 233, 793, 144, 311. So, keep reading to learn more.
Given numbers are 106,233,793,144,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,233,793,144,311 is 438558829488.
Find LCM of 106,233,793,144,311 with Prime Factorization
| 2 | 106, 233, 793, 144, 311 |
| 53, 233, 793, 72, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 233 x 793 x 72 x 311 = 438558829488
Therefore, the lowest common multiple of 106,233,793,144,311 is 438558829488.
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.
106 x 233 x 793 x 144 x 311 = 877117658976
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.
106 : 1, 2, 53, 106
233 : 1, 233
793 : 1, 13, 61, 793
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,233,793,144,311, is 1.
Now, the common factors can be found like this.
106:2x 53
233:233
793:13x 61
144:2x 2x 2x 2x 3x 3
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 877117658976/(1x2)
LCM = 877117658976/2
LCM = 438558829488
Thus, we can understand that the LCM of 106,233,793,144,311 is 438558829488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 233, 793, 144, 311
1. What is the LCM of 106, 233, 793, 144, 311?
Answer: LCM of 106, 233, 793, 144, 311 is 438558829488.
2. How to calculate the LCM of 106, 233, 793, 144, 311?
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 106, 233, 793, 144, 311.
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}.