LCM of 315, 405, 807, 214, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 405, 807, 214, 109 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 315, 405, 807, 214, 109. So, keep reading to learn more.
Given numbers are 315,405,807,214,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,405,807,214,109 is 17788757490.
Find LCM of 315,405,807,214,109 with Prime Factorization
| 3 | 315, 405, 807, 214, 109 |
| 3 | 105, 135, 269, 214, 109 |
| 5 | 35, 45, 269, 214, 109 |
| 7, 9, 269, 214, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 9 x 269 x 214 x 109 = 17788757490
Therefore, the lowest common multiple of 315,405,807,214,109 is 17788757490.
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.
315 x 405 x 807 x 214 x 109 = 2401482261150
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
807 : 1, 3, 269, 807
214 : 1, 2, 107, 214
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,405,807,214,109, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
405:3x 3x 3x 3x 5
807:3x 269
214:2x 107
109:109
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 5 = 135
Therefore, the value for common factors is 135.
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 = 2401482261150/(1x135)
LCM = 2401482261150/135
LCM = 17788757490
Thus, we can understand that the LCM of 315,405,807,214,109 is 17788757490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 405, 807, 214, 109
1. What is the LCM of 315, 405, 807, 214, 109?
Answer: LCM of 315, 405, 807, 214, 109 is 17788757490.
2. How to calculate the LCM of 315, 405, 807, 214, 109?
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 315, 405, 807, 214, 109.
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}.