LCM of 405, 561, 770, 341, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 561, 770, 341, 289 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, 561, 770, 341, 289. So, keep reading to learn more.
Given numbers are 405,561,770,341,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,561,770,341,289 is 558772830.
Find LCM of 405,561,770,341,289 with Prime Factorization
| 3 | 405, 561, 770, 341, 289 |
| 5 | 135, 187, 770, 341, 289 |
| 11 | 27, 187, 154, 341, 289 |
| 17 | 27, 17, 14, 31, 289 |
| 27, 1, 14, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 17 x 27 x 1 x 14 x 31 x 17 = 558772830
Therefore, the lowest common multiple of 405,561,770,341,289 is 558772830.
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 561 x 770 x 341 x 289 = 17240935669650
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
341 : 1, 11, 31, 341
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,561,770,341,289, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
561:3x 11x 17
770:2x 5x 7x 11
341:11x 31
289:17x 17
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 11x 11x 17 = 30855
Therefore, the value for common factors is 30855.
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 = 17240935669650/(1x30855)
LCM = 17240935669650/30855
LCM = 558772830
Thus, we can understand that the LCM of 405,561,770,341,289 is 558772830.
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FAQs on LCM of 405, 561, 770, 341, 289
1. What is the LCM of 405, 561, 770, 341, 289?
Answer: LCM of 405, 561, 770, 341, 289 is 558772830.
2. How to calculate the LCM of 405, 561, 770, 341, 289?
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, 561, 770, 341, 289.
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}.