LCM of 492, 405, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 405, 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 492, 405, 162. So, keep reading to learn more.
Given numbers are 492,405,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,405,162 is 66420.
Find LCM of 492,405,162 with Prime Factorization
| 2 | 492, 405, 162 |
| 3 | 246, 405, 81 |
| 3 | 82, 135, 27 |
| 3 | 82, 45, 9 |
| 3 | 82, 15, 3 |
| 82, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 82 x 5 x 1 = 66420
Therefore, the lowest common multiple of 492,405,162 is 66420.
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.
492 x 405 x 162 = 32280120
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,405,162, is 3.
Now, the common factors can be found like this.
492:2x 2x 3x 41
405:3x 3x 3x 3x 5
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 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 32280120/(3x162)
LCM = 32280120/486
LCM = 66420
Thus, we can understand that the LCM of 492,405,162 is 66420.
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FAQs on LCM of 492, 405, 162
1. What is the LCM of 492, 405, 162?
Answer: LCM of 492, 405, 162 is 66420.
2. How to calculate the LCM of 492, 405, 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 492, 405, 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}.