LCM of 405, 378, 533, 512, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 378, 533, 512, 205 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, 378, 533, 512, 205. So, keep reading to learn more.
Given numbers are 405,378,533,512,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,378,533,512,205 is 773660160.
Find LCM of 405,378,533,512,205 with Prime Factorization
| 2 | 405, 378, 533, 512, 205 |
| 3 | 405, 189, 533, 256, 205 |
| 3 | 135, 63, 533, 256, 205 |
| 3 | 45, 21, 533, 256, 205 |
| 5 | 15, 7, 533, 256, 205 |
| 41 | 3, 7, 533, 256, 41 |
| 3, 7, 13, 256, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 41 x 3 x 7 x 13 x 256 x 1 = 773660160
Therefore, the lowest common multiple of 405,378,533,512,205 is 773660160.
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 378 x 533 x 512 x 205 = 8564417971200
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
533 : 1, 13, 41, 533
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,378,533,512,205, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
378:2x 3x 3x 3x 7
533:13x 41
512:2x 2x 2x 2x 2x 2x 2x 2x 2
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 41 = 11070
Therefore, the value for common factors is 11070.
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 = 8564417971200/(1x11070)
LCM = 8564417971200/11070
LCM = 773660160
Thus, we can understand that the LCM of 405,378,533,512,205 is 773660160.
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FAQs on LCM of 405, 378, 533, 512, 205
1. What is the LCM of 405, 378, 533, 512, 205?
Answer: LCM of 405, 378, 533, 512, 205 is 773660160.
2. How to calculate the LCM of 405, 378, 533, 512, 205?
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, 378, 533, 512, 205.
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}.