LCM of 127, 614, 635, 315, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 614, 635, 315, 409 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 127, 614, 635, 315, 409. So, keep reading to learn more.
Given numbers are 127,614,635,315,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,614,635,315,409 is 10046295630.
Find LCM of 127,614,635,315,409 with Prime Factorization
| 5 | 127, 614, 635, 315, 409 |
| 127 | 127, 614, 127, 63, 409 |
| 1, 614, 1, 63, 409 |
Multiply the prime numbers at the bottom and the left side.
5 x 127 x 1 x 614 x 1 x 63 x 409 = 10046295630
Therefore, the lowest common multiple of 127,614,635,315,409 is 10046295630.
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.
127 x 614 x 635 x 315 x 409 = 6379397725050
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.
127 : 1, 127
614 : 1, 2, 307, 614
635 : 1, 5, 127, 635
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,614,635,315,409, is 1.
Now, the common factors can be found like this.
127:127
614:2x 307
635:5x 127
315:3x 3x 5x 7
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 127 = 635
Therefore, the value for common factors is 635.
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 = 6379397725050/(1x635)
LCM = 6379397725050/635
LCM = 10046295630
Thus, we can understand that the LCM of 127,614,635,315,409 is 10046295630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 127, 614, 635, 315, 409
1. What is the LCM of 127, 614, 635, 315, 409?
Answer: LCM of 127, 614, 635, 315, 409 is 10046295630.
2. How to calculate the LCM of 127, 614, 635, 315, 409?
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 127, 614, 635, 315, 409.
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}.