LCM of 405, 726, 589, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 726, 589, 331 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, 726, 589, 331. So, keep reading to learn more.
Given numbers are 405,726,589,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,726,589,331 is 19107931590.
Find LCM of 405,726,589,331 with Prime Factorization
| 3 | 405, 726, 589, 331 |
| 135, 242, 589, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 135 x 242 x 589 x 331 = 19107931590
Therefore, the lowest common multiple of 405,726,589,331 is 19107931590.
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 726 x 589 x 331 = 57323794770
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
589 : 1, 19, 31, 589
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,726,589,331, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
726:2x 3x 11x 11
589:19x 31
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 57323794770/(1x3)
LCM = 57323794770/3
LCM = 19107931590
Thus, we can understand that the LCM of 405,726,589,331 is 19107931590.
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FAQs on LCM of 405, 726, 589, 331
1. What is the LCM of 405, 726, 589, 331?
Answer: LCM of 405, 726, 589, 331 is 19107931590.
2. How to calculate the LCM of 405, 726, 589, 331?
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, 726, 589, 331.
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}.