LCM of 663, 105, 405, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 105, 405, 217 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 663, 105, 405, 217. So, keep reading to learn more.
Given numbers are 663,105,405,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,105,405,217 is 19422585.
Find LCM of 663,105,405,217 with Prime Factorization
| 3 | 663, 105, 405, 217 |
| 5 | 221, 35, 135, 217 |
| 7 | 221, 7, 27, 217 |
| 221, 1, 27, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 221 x 1 x 27 x 31 = 19422585
Therefore, the lowest common multiple of 663,105,405,217 is 19422585.
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.
663 x 105 x 405 x 217 = 6118114275
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
105 : 1, 3, 5, 7, 15, 21, 35, 105
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,105,405,217, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
105:3x 5x 7
405:3x 3x 3x 3x 5
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 6118114275/(1x315)
LCM = 6118114275/315
LCM = 19422585
Thus, we can understand that the LCM of 663,105,405,217 is 19422585.
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FAQs on LCM of 663, 105, 405, 217
1. What is the LCM of 663, 105, 405, 217?
Answer: LCM of 663, 105, 405, 217 is 19422585.
2. How to calculate the LCM of 663, 105, 405, 217?
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 663, 105, 405, 217.
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}.