LCM of 322, 831, 786, 203, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 831, 786, 203, 827 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 322, 831, 786, 203, 827. So, keep reading to learn more.
Given numbers are 322,831,786,203,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,831,786,203,827 is 840681902886.
Find LCM of 322,831,786,203,827 with Prime Factorization
| 2 | 322, 831, 786, 203, 827 |
| 3 | 161, 831, 393, 203, 827 |
| 7 | 161, 277, 131, 203, 827 |
| 23, 277, 131, 29, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 277 x 131 x 29 x 827 = 840681902886
Therefore, the lowest common multiple of 322,831,786,203,827 is 840681902886.
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.
322 x 831 x 786 x 203 x 827 = 35308639921212
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
831 : 1, 3, 277, 831
786 : 1, 2, 3, 6, 131, 262, 393, 786
203 : 1, 7, 29, 203
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,831,786,203,827, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
831:3x 277
786:2x 3x 131
203:7x 29
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 35308639921212/(1x42)
LCM = 35308639921212/42
LCM = 840681902886
Thus, we can understand that the LCM of 322,831,786,203,827 is 840681902886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 831, 786, 203, 827
1. What is the LCM of 322, 831, 786, 203, 827?
Answer: LCM of 322, 831, 786, 203, 827 is 840681902886.
2. How to calculate the LCM of 322, 831, 786, 203, 827?
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 322, 831, 786, 203, 827.
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}.