LCM of 361, 410, 729, 324, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 410, 729, 324, 385 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 361, 410, 729, 324, 385. So, keep reading to learn more.
Given numbers are 361,410,729,324,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,410,729,324,385 is 16616490660.
Find LCM of 361,410,729,324,385 with Prime Factorization
| 2 | 361, 410, 729, 324, 385 |
| 3 | 361, 205, 729, 162, 385 |
| 3 | 361, 205, 243, 54, 385 |
| 3 | 361, 205, 81, 18, 385 |
| 3 | 361, 205, 27, 6, 385 |
| 5 | 361, 205, 9, 2, 385 |
| 361, 41, 9, 2, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 361 x 41 x 9 x 2 x 77 = 16616490660
Therefore, the lowest common multiple of 361,410,729,324,385 is 16616490660.
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.
361 x 410 x 729 x 324 x 385 = 13459357434600
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.
361 : 1, 19, 361
410 : 1, 2, 5, 10, 41, 82, 205, 410
729 : 1, 3, 9, 27, 81, 243, 729
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,410,729,324,385, is 1.
Now, the common factors can be found like this.
361:19x 19
410:2x 5x 41
729:3x 3x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
385:5x 7x 11
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 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 13459357434600/(1x810)
LCM = 13459357434600/810
LCM = 16616490660
Thus, we can understand that the LCM of 361,410,729,324,385 is 16616490660.
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FAQs on LCM of 361, 410, 729, 324, 385
1. What is the LCM of 361, 410, 729, 324, 385?
Answer: LCM of 361, 410, 729, 324, 385 is 16616490660.
2. How to calculate the LCM of 361, 410, 729, 324, 385?
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 361, 410, 729, 324, 385.
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}.