LCM of 162, 324, 648, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 324, 648, 891 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 162, 324, 648, 891. So, keep reading to learn more.
Given numbers are 162,324,648,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,324,648,891 is 7128.
Find LCM of 162,324,648,891 with Prime Factorization
| 2 | 162, 324, 648, 891 |
| 2 | 81, 162, 324, 891 |
| 3 | 81, 81, 162, 891 |
| 3 | 27, 27, 54, 297 |
| 3 | 9, 9, 18, 99 |
| 3 | 3, 3, 6, 33 |
| 1, 1, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 1 x 1 x 2 x 11 = 7128
Therefore, the lowest common multiple of 162,324,648,891 is 7128.
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.
162 x 324 x 648 x 891 = 30304891584
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
81 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,324,648,891, is 81.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
648:2x 2x 2x 3x 3x 3x 3
891:3x 3x 3x 3x 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 2x 2x 3x 3x 3x 3x 3x 3x 3x 3 = 52488
Therefore, the value for common factors is 52488.
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 = 30304891584/(81x52488)
LCM = 30304891584/4251528
LCM = 7128
Thus, we can understand that the LCM of 162,324,648,891 is 7128.
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FAQs on LCM of 162, 324, 648, 891
1. What is the LCM of 162, 324, 648, 891?
Answer: LCM of 162, 324, 648, 891 is 7128.
2. How to calculate the LCM of 162, 324, 648, 891?
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 162, 324, 648, 891.
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}.