LCM of 166, 182, 973, 678, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 182, 973, 678, 415 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 166, 182, 973, 678, 415. So, keep reading to learn more.
Given numbers are 166,182,973,678,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,182,973,678,415 is 3559049130.
Find LCM of 166,182,973,678,415 with Prime Factorization
| 2 | 166, 182, 973, 678, 415 |
| 7 | 83, 91, 973, 339, 415 |
| 83 | 83, 13, 139, 339, 415 |
| 1, 13, 139, 339, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 83 x 1 x 13 x 139 x 339 x 5 = 3559049130
Therefore, the lowest common multiple of 166,182,973,678,415 is 3559049130.
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.
166 x 182 x 973 x 678 x 415 = 8271230178120
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.
166 : 1, 2, 83, 166
182 : 1, 2, 7, 13, 14, 26, 91, 182
973 : 1, 7, 139, 973
678 : 1, 2, 3, 6, 113, 226, 339, 678
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,182,973,678,415, is 1.
Now, the common factors can be found like this.
166:2x 83
182:2x 7x 13
973:7x 139
678:2x 3x 113
415:5x 83
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 7x 83 = 2324
Therefore, the value for common factors is 2324.
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 = 8271230178120/(1x2324)
LCM = 8271230178120/2324
LCM = 3559049130
Thus, we can understand that the LCM of 166,182,973,678,415 is 3559049130.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 166, 182, 973, 678, 415
1. What is the LCM of 166, 182, 973, 678, 415?
Answer: LCM of 166, 182, 973, 678, 415 is 3559049130.
2. How to calculate the LCM of 166, 182, 973, 678, 415?
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 166, 182, 973, 678, 415.
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}.