LCM of 705, 411, 135, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 411, 135, 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 705, 411, 135, 405. So, keep reading to learn more.
Given numbers are 705,411,135,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,411,135,405 is 2607795.
Find LCM of 705,411,135,405 with Prime Factorization
| 3 | 705, 411, 135, 405 |
| 3 | 235, 137, 45, 135 |
| 3 | 235, 137, 15, 45 |
| 5 | 235, 137, 5, 15 |
| 47, 137, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 47 x 137 x 1 x 3 = 2607795
Therefore, the lowest common multiple of 705,411,135,405 is 2607795.
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.
705 x 411 x 135 x 405 = 15842354625
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
411 : 1, 3, 137, 411
135 : 1, 3, 5, 9, 15, 27, 45, 135
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,411,135,405, is 3.
Now, the common factors can be found like this.
705:3x 5x 47
411:3x 137
135:3x 3x 3x 5
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.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 15842354625/(3x2025)
LCM = 15842354625/6075
LCM = 2607795
Thus, we can understand that the LCM of 705,411,135,405 is 2607795.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 411, 135, 405
1. What is the LCM of 705, 411, 135, 405?
Answer: LCM of 705, 411, 135, 405 is 2607795.
2. How to calculate the LCM of 705, 411, 135, 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 705, 411, 135, 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}.