LCM of 462, 388, 105, 378, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 388, 105, 378, 189 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 462, 388, 105, 378, 189. So, keep reading to learn more.
Given numbers are 462,388,105,378,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,388,105,378,189 is 4033260.
Find LCM of 462,388,105,378,189 with Prime Factorization
| 2 | 462, 388, 105, 378, 189 |
| 3 | 231, 194, 105, 189, 189 |
| 3 | 77, 194, 35, 63, 63 |
| 3 | 77, 194, 35, 21, 21 |
| 7 | 77, 194, 35, 7, 7 |
| 11, 194, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 11 x 194 x 5 x 1 x 1 = 4033260
Therefore, the lowest common multiple of 462,388,105,378,189 is 4033260.
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.
462 x 388 x 105 x 378 x 189 = 1344672750960
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
388 : 1, 2, 4, 97, 194, 388
105 : 1, 3, 5, 7, 15, 21, 35, 105
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,388,105,378,189, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
388:2x 2x 97
105:3x 5x 7
378:2x 3x 3x 3x 7
189:3x 3x 3x 7
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 3x 3x 3x 3x 3x 7x 7x 7 = 333396
Therefore, the value for common factors is 333396.
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 = 1344672750960/(1x333396)
LCM = 1344672750960/333396
LCM = 4033260
Thus, we can understand that the LCM of 462,388,105,378,189 is 4033260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 462, 388, 105, 378, 189
1. What is the LCM of 462, 388, 105, 378, 189?
Answer: LCM of 462, 388, 105, 378, 189 is 4033260.
2. How to calculate the LCM of 462, 388, 105, 378, 189?
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 462, 388, 105, 378, 189.
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}.