LCM of 428, 412, 187, 589, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 412, 187, 589, 162 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 428, 412, 187, 589, 162. So, keep reading to learn more.
Given numbers are 428,412,187,589,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,412,187,589,162 is 393299064972.
Find LCM of 428,412,187,589,162 with Prime Factorization
| 2 | 428, 412, 187, 589, 162 |
| 2 | 214, 206, 187, 589, 81 |
| 107, 103, 187, 589, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 103 x 187 x 589 x 81 = 393299064972
Therefore, the lowest common multiple of 428,412,187,589,162 is 393299064972.
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.
428 x 412 x 187 x 589 x 162 = 3146392519776
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.
428 : 1, 2, 4, 107, 214, 428
412 : 1, 2, 4, 103, 206, 412
187 : 1, 11, 17, 187
589 : 1, 19, 31, 589
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,412,187,589,162, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
412:2x 2x 103
187:11x 17
589:19x 31
162:2x 3x 3x 3x 3
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 2 = 8
Therefore, the value for common factors is 8.
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 = 3146392519776/(1x8)
LCM = 3146392519776/8
LCM = 393299064972
Thus, we can understand that the LCM of 428,412,187,589,162 is 393299064972.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 428, 412, 187, 589, 162
1. What is the LCM of 428, 412, 187, 589, 162?
Answer: LCM of 428, 412, 187, 589, 162 is 393299064972.
2. How to calculate the LCM of 428, 412, 187, 589, 162?
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 428, 412, 187, 589, 162.
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}.