LCM of 201, 835, 747, 871, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 835, 747, 871, 217 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 201, 835, 747, 871, 217. So, keep reading to learn more.
Given numbers are 201,835,747,871,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,835,747,871,217 is 117892171215.
Find LCM of 201,835,747,871,217 with Prime Factorization
| 3 | 201, 835, 747, 871, 217 |
| 67 | 67, 835, 249, 871, 217 |
| 1, 835, 249, 13, 217 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 1 x 835 x 249 x 13 x 217 = 117892171215
Therefore, the lowest common multiple of 201,835,747,871,217 is 117892171215.
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.
201 x 835 x 747 x 871 x 217 = 23696326414215
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.
201 : 1, 3, 67, 201
835 : 1, 5, 167, 835
747 : 1, 3, 9, 83, 249, 747
871 : 1, 13, 67, 871
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,835,747,871,217, is 1.
Now, the common factors can be found like this.
201:3x 67
835:5x 167
747:3x 3x 83
871:13x 67
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 67 = 201
Therefore, the value for common factors is 201.
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 = 23696326414215/(1x201)
LCM = 23696326414215/201
LCM = 117892171215
Thus, we can understand that the LCM of 201,835,747,871,217 is 117892171215.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 201, 835, 747, 871, 217
1. What is the LCM of 201, 835, 747, 871, 217?
Answer: LCM of 201, 835, 747, 871, 217 is 117892171215.
2. How to calculate the LCM of 201, 835, 747, 871, 217?
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 201, 835, 747, 871, 217.
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}.