Find the LCM of 827, 345, 381, 261, 817 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 827, 345, 381, 261, 817. So, keep reading to learn more.
Given numbers are 827,345,381,261,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,345,381,261,817 is 2575547920395.
Find LCM of 827,345,381,261,817 with Prime Factorization
3 | 827, 345, 381, 261, 817 |
827, 115, 127, 87, 817 |
Multiply the prime numbers at the bottom and the left side.
3 x 827 x 115 x 127 x 87 x 817 = 2575547920395
Therefore, the lowest common multiple of 827,345,381,261,817 is 2575547920395.
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.
827 x 345 x 381 x 261 x 817 = 23179931283555
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.
827 : 1, 827
345 : 1, 3, 5, 15, 23, 69, 115, 345
381 : 1, 3, 127, 381
261 : 1, 3, 9, 29, 87, 261
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,345,381,261,817, is 1.
Now, the common factors can be found like this.
827:827
345:3x 5x 23
381:3x 127
261:3x 3x 29
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 23179931283555/(1x9)
LCM = 23179931283555/9
LCM = 2575547920395
Thus, we can understand that the LCM of 827,345,381,261,817 is 2575547920395.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 827, 345, 381, 261, 817?
Answer: LCM of 827, 345, 381, 261, 817 is 2575547920395.
2. How to calculate the LCM of 827, 345, 381, 261, 817?
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 827, 345, 381, 261, 817.
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}.