LCM of 405, 396, 206, 586, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 396, 206, 586, 405 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 405, 396, 206, 586, 405. So, keep reading to learn more.
Given numbers are 405,396,206,586,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,396,206,586,405 is 537789780.
Find LCM of 405,396,206,586,405 with Prime Factorization
| 2 | 405, 396, 206, 586, 405 |
| 3 | 405, 198, 103, 293, 405 |
| 3 | 135, 66, 103, 293, 135 |
| 3 | 45, 22, 103, 293, 45 |
| 3 | 15, 22, 103, 293, 15 |
| 5 | 5, 22, 103, 293, 5 |
| 1, 22, 103, 293, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 1 x 22 x 103 x 293 x 1 = 537789780
Therefore, the lowest common multiple of 405,396,206,586,405 is 537789780.
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.
405 x 396 x 206 x 586 x 405 = 7840974992400
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
206 : 1, 2, 103, 206
586 : 1, 2, 293, 586
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,396,206,586,405, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
396:2x 2x 3x 3x 11
206:2x 103
586:2x 293
405:3x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 14580
Therefore, the value for common factors is 14580.
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 = 7840974992400/(1x14580)
LCM = 7840974992400/14580
LCM = 537789780
Thus, we can understand that the LCM of 405,396,206,586,405 is 537789780.
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FAQs on LCM of 405, 396, 206, 586, 405
1. What is the LCM of 405, 396, 206, 586, 405?
Answer: LCM of 405, 396, 206, 586, 405 is 537789780.
2. How to calculate the LCM of 405, 396, 206, 586, 405?
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 405, 396, 206, 586, 405.
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}.