LCM of 405, 242, 869, 319, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 242, 869, 319, 917 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, 242, 869, 319, 917. So, keep reading to learn more.
Given numbers are 405,242,869,319,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,242,869,319,917 is 205904014470.
Find LCM of 405,242,869,319,917 with Prime Factorization
| 11 | 405, 242, 869, 319, 917 |
| 405, 22, 79, 29, 917 |
Multiply the prime numbers at the bottom and the left side.
11 x 405 x 22 x 79 x 29 x 917 = 205904014470
Therefore, the lowest common multiple of 405,242,869,319,917 is 205904014470.
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 242 x 869 x 319 x 917 = 24914385750870
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
242 : 1, 2, 11, 22, 121, 242
869 : 1, 11, 79, 869
319 : 1, 11, 29, 319
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,242,869,319,917, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
242:2x 11x 11
869:11x 79
319:11x 29
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 24914385750870/(1x121)
LCM = 24914385750870/121
LCM = 205904014470
Thus, we can understand that the LCM of 405,242,869,319,917 is 205904014470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 242, 869, 319, 917
1. What is the LCM of 405, 242, 869, 319, 917?
Answer: LCM of 405, 242, 869, 319, 917 is 205904014470.
2. How to calculate the LCM of 405, 242, 869, 319, 917?
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, 242, 869, 319, 917.
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}.