LCM of 405, 936, 443, 800, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 936, 443, 800, 664 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, 936, 443, 800, 664. So, keep reading to learn more.
Given numbers are 405,936,443,800,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,936,443,800,664 is 30974205600.
Find LCM of 405,936,443,800,664 with Prime Factorization
| 2 | 405, 936, 443, 800, 664 |
| 2 | 405, 468, 443, 400, 332 |
| 2 | 405, 234, 443, 200, 166 |
| 3 | 405, 117, 443, 100, 83 |
| 3 | 135, 39, 443, 100, 83 |
| 5 | 45, 13, 443, 100, 83 |
| 9, 13, 443, 20, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 9 x 13 x 443 x 20 x 83 = 30974205600
Therefore, the lowest common multiple of 405,936,443,800,664 is 30974205600.
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 936 x 443 x 800 x 664 = 89205712128000
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
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
443 : 1, 443
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,936,443,800,664, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
936:2x 2x 2x 3x 3x 13
443:443
800:2x 2x 2x 2x 2x 5x 5
664:2x 2x 2x 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 2x 2x 2x 2x 3x 3x 5 = 2880
Therefore, the value for common factors is 2880.
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 = 89205712128000/(1x2880)
LCM = 89205712128000/2880
LCM = 30974205600
Thus, we can understand that the LCM of 405,936,443,800,664 is 30974205600.
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FAQs on LCM of 405, 936, 443, 800, 664
1. What is the LCM of 405, 936, 443, 800, 664?
Answer: LCM of 405, 936, 443, 800, 664 is 30974205600.
2. How to calculate the LCM of 405, 936, 443, 800, 664?
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, 936, 443, 800, 664.
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}.