LCM of 416, 103, 871, 504, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 103, 871, 504, 818 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 416, 103, 871, 504, 818. So, keep reading to learn more.
Given numbers are 416,103,871,504,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,103,871,504,818 is 73972315872.
Find LCM of 416,103,871,504,818 with Prime Factorization
| 2 | 416, 103, 871, 504, 818 |
| 2 | 208, 103, 871, 252, 409 |
| 2 | 104, 103, 871, 126, 409 |
| 13 | 52, 103, 871, 63, 409 |
| 4, 103, 67, 63, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 4 x 103 x 67 x 63 x 409 = 73972315872
Therefore, the lowest common multiple of 416,103,871,504,818 is 73972315872.
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.
416 x 103 x 871 x 504 x 818 = 15386241701376
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
103 : 1, 103
871 : 1, 13, 67, 871
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,103,871,504,818, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
103:103
871:13x 67
504:2x 2x 2x 3x 3x 7
818:2x 409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 15386241701376/(1x208)
LCM = 15386241701376/208
LCM = 73972315872
Thus, we can understand that the LCM of 416,103,871,504,818 is 73972315872.
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FAQs on LCM of 416, 103, 871, 504, 818
1. What is the LCM of 416, 103, 871, 504, 818?
Answer: LCM of 416, 103, 871, 504, 818 is 73972315872.
2. How to calculate the LCM of 416, 103, 871, 504, 818?
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 416, 103, 871, 504, 818.
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}.