LCM of 729, 585, 270, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 585, 270, 367 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 729, 585, 270, 367. So, keep reading to learn more.
Given numbers are 729,585,270,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,585,270,367 is 34780590.
Find LCM of 729,585,270,367 with Prime Factorization
| 3 | 729, 585, 270, 367 |
| 3 | 243, 195, 90, 367 |
| 3 | 81, 65, 30, 367 |
| 5 | 27, 65, 10, 367 |
| 27, 13, 2, 367 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 27 x 13 x 2 x 367 = 34780590
Therefore, the lowest common multiple of 729,585,270,367 is 34780590.
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.
729 x 585 x 270 x 367 = 42258416850
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.
729 : 1, 3, 9, 27, 81, 243, 729
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,585,270,367, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
585:3x 3x 5x 13
270:2x 3x 3x 3x 5
367:367
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 3x 5 = 1215
Therefore, the value for common factors is 1215.
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 = 42258416850/(1x1215)
LCM = 42258416850/1215
LCM = 34780590
Thus, we can understand that the LCM of 729,585,270,367 is 34780590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 585, 270, 367
1. What is the LCM of 729, 585, 270, 367?
Answer: LCM of 729, 585, 270, 367 is 34780590.
2. How to calculate the LCM of 729, 585, 270, 367?
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 729, 585, 270, 367.
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}.