LCM of 206, 682, 110, 954, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 682, 110, 954, 165 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 206, 682, 110, 954, 165. So, keep reading to learn more.
Given numbers are 206,682,110,954,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,682,110,954,165 is 167536710.
Find LCM of 206,682,110,954,165 with Prime Factorization
| 2 | 206, 682, 110, 954, 165 |
| 3 | 103, 341, 55, 477, 165 |
| 5 | 103, 341, 55, 159, 55 |
| 11 | 103, 341, 11, 159, 11 |
| 103, 31, 1, 159, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 103 x 31 x 1 x 159 x 1 = 167536710
Therefore, the lowest common multiple of 206,682,110,954,165 is 167536710.
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.
206 x 682 x 110 x 954 x 165 = 2432633029200
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.
206 : 1, 2, 103, 206
682 : 1, 2, 11, 22, 31, 62, 341, 682
110 : 1, 2, 5, 10, 11, 22, 55, 110
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,682,110,954,165, is 1.
Now, the common factors can be found like this.
206:2x 103
682:2x 11x 31
110:2x 5x 11
954:2x 3x 3x 53
165:3x 5x 11
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 3x 5x 11x 11 = 14520
Therefore, the value for common factors is 14520.
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 = 2432633029200/(1x14520)
LCM = 2432633029200/14520
LCM = 167536710
Thus, we can understand that the LCM of 206,682,110,954,165 is 167536710.
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FAQs on LCM of 206, 682, 110, 954, 165
1. What is the LCM of 206, 682, 110, 954, 165?
Answer: LCM of 206, 682, 110, 954, 165 is 167536710.
2. How to calculate the LCM of 206, 682, 110, 954, 165?
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 206, 682, 110, 954, 165.
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}.