LCM of 538, 613, 143, 682, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 613, 143, 682, 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 538, 613, 143, 682, 165. So, keep reading to learn more.
Given numbers are 538,613,143,682,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,613,143,682,165 is 21929652030.
Find LCM of 538,613,143,682,165 with Prime Factorization
| 2 | 538, 613, 143, 682, 165 |
| 11 | 269, 613, 143, 341, 165 |
| 269, 613, 13, 31, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 269 x 613 x 13 x 31 x 15 = 21929652030
Therefore, the lowest common multiple of 538,613,143,682,165 is 21929652030.
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.
538 x 613 x 143 x 682 x 165 = 5306975791260
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.
538 : 1, 2, 269, 538
613 : 1, 613
143 : 1, 11, 13, 143
682 : 1, 2, 11, 22, 31, 62, 341, 682
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 538,613,143,682,165, is 1.
Now, the common factors can be found like this.
538:2x 269
613:613
143:11x 13
682:2x 11x 31
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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 5306975791260/(1x242)
LCM = 5306975791260/242
LCM = 21929652030
Thus, we can understand that the LCM of 538,613,143,682,165 is 21929652030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 613, 143, 682, 165
1. What is the LCM of 538, 613, 143, 682, 165?
Answer: LCM of 538, 613, 143, 682, 165 is 21929652030.
2. How to calculate the LCM of 538, 613, 143, 682, 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 538, 613, 143, 682, 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}.