LCM of 217, 323, 969, 944, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 323, 969, 944, 333 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 217, 323, 969, 944, 333. So, keep reading to learn more.
Given numbers are 217,323,969,944,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,323,969,944,333 is 22033246032.
Find LCM of 217,323,969,944,333 with Prime Factorization
| 3 | 217, 323, 969, 944, 333 |
| 17 | 217, 323, 323, 944, 111 |
| 19 | 217, 19, 19, 944, 111 |
| 217, 1, 1, 944, 111 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 217 x 1 x 1 x 944 x 111 = 22033246032
Therefore, the lowest common multiple of 217,323,969,944,333 is 22033246032.
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.
217 x 323 x 969 x 944 x 333 = 21350215405008
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.
217 : 1, 7, 31, 217
323 : 1, 17, 19, 323
969 : 1, 3, 17, 19, 51, 57, 323, 969
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,323,969,944,333, is 1.
Now, the common factors can be found like this.
217:7x 31
323:17x 19
969:3x 17x 19
944:2x 2x 2x 2x 59
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 21350215405008/(1x969)
LCM = 21350215405008/969
LCM = 22033246032
Thus, we can understand that the LCM of 217,323,969,944,333 is 22033246032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 323, 969, 944, 333
1. What is the LCM of 217, 323, 969, 944, 333?
Answer: LCM of 217, 323, 969, 944, 333 is 22033246032.
2. How to calculate the LCM of 217, 323, 969, 944, 333?
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 217, 323, 969, 944, 333.
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}.