LCM of 385, 405, 728, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 405, 728, 105 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 385, 405, 728, 105. So, keep reading to learn more.
Given numbers are 385,405,728,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,405,728,105 is 3243240.
Find LCM of 385,405,728,105 with Prime Factorization
| 3 | 385, 405, 728, 105 |
| 5 | 385, 135, 728, 35 |
| 7 | 77, 27, 728, 7 |
| 11, 27, 104, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 27 x 104 x 1 = 3243240
Therefore, the lowest common multiple of 385,405,728,105 is 3243240.
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.
385 x 405 x 728 x 105 = 11918907000
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,405,728,105, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
405:3x 3x 3x 3x 5
728:2x 2x 2x 7x 13
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 7 = 3675
Therefore, the value for common factors is 3675.
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 = 11918907000/(1x3675)
LCM = 11918907000/3675
LCM = 3243240
Thus, we can understand that the LCM of 385,405,728,105 is 3243240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 405, 728, 105
1. What is the LCM of 385, 405, 728, 105?
Answer: LCM of 385, 405, 728, 105 is 3243240.
2. How to calculate the LCM of 385, 405, 728, 105?
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 385, 405, 728, 105.
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}.