LCM of 217, 152, 204, 961, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 152, 204, 961, 747 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, 152, 204, 961, 747. So, keep reading to learn more.
Given numbers are 217,152,204,961,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,152,204,961,747 is 12984778296.
Find LCM of 217,152,204,961,747 with Prime Factorization
| 2 | 217, 152, 204, 961, 747 |
| 2 | 217, 76, 102, 961, 747 |
| 3 | 217, 38, 51, 961, 747 |
| 31 | 217, 38, 17, 961, 249 |
| 7, 38, 17, 31, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 7 x 38 x 17 x 31 x 249 = 12984778296
Therefore, the lowest common multiple of 217,152,204,961,747 is 12984778296.
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 152 x 204 x 961 x 747 = 4830337526112
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
152 : 1, 2, 4, 8, 19, 38, 76, 152
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
961 : 1, 31, 961
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,152,204,961,747, is 1.
Now, the common factors can be found like this.
217:7x 31
152:2x 2x 2x 19
204:2x 2x 3x 17
961:31x 31
747:3x 3x 83
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 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 4830337526112/(1x372)
LCM = 4830337526112/372
LCM = 12984778296
Thus, we can understand that the LCM of 217,152,204,961,747 is 12984778296.
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FAQs on LCM of 217, 152, 204, 961, 747
1. What is the LCM of 217, 152, 204, 961, 747?
Answer: LCM of 217, 152, 204, 961, 747 is 12984778296.
2. How to calculate the LCM of 217, 152, 204, 961, 747?
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, 152, 204, 961, 747.
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}.