LCM of 814, 206, 103, 863, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 206, 103, 863, 866 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 814, 206, 103, 863, 866. So, keep reading to learn more.
Given numbers are 814,206,103,863,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,206,103,863,866 is 31329994718.
Find LCM of 814,206,103,863,866 with Prime Factorization
| 2 | 814, 206, 103, 863, 866 |
| 103 | 407, 103, 103, 863, 433 |
| 407, 1, 1, 863, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 407 x 1 x 1 x 863 x 433 = 31329994718
Therefore, the lowest common multiple of 814,206,103,863,866 is 31329994718.
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.
814 x 206 x 103 x 863 x 866 = 12907957823816
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
206 : 1, 2, 103, 206
103 : 1, 103
863 : 1, 863
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,206,103,863,866, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
206:2x 103
103:103
863:863
866:2x 433
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 103 = 412
Therefore, the value for common factors is 412.
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 = 12907957823816/(1x412)
LCM = 12907957823816/412
LCM = 31329994718
Thus, we can understand that the LCM of 814,206,103,863,866 is 31329994718.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 206, 103, 863, 866
1. What is the LCM of 814, 206, 103, 863, 866?
Answer: LCM of 814, 206, 103, 863, 866 is 31329994718.
2. How to calculate the LCM of 814, 206, 103, 863, 866?
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 814, 206, 103, 863, 866.
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}.