LCM of 906, 504, 324, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 504, 324, 813 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 906, 504, 324, 813. So, keep reading to learn more.
Given numbers are 906,504,324,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,504,324,813 is 185617656.
Find LCM of 906,504,324,813 with Prime Factorization
| 2 | 906, 504, 324, 813 |
| 2 | 453, 252, 162, 813 |
| 3 | 453, 126, 81, 813 |
| 3 | 151, 42, 27, 271 |
| 151, 14, 9, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 151 x 14 x 9 x 271 = 185617656
Therefore, the lowest common multiple of 906,504,324,813 is 185617656.
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.
906 x 504 x 324 x 813 = 120280241088
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
813 : 1, 3, 271, 813
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,504,324,813, is 3.
Now, the common factors can be found like this.
906:2x 3x 151
504:2x 2x 2x 3x 3x 7
324:2x 2x 3x 3x 3x 3
813:3x 271
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 3 = 216
Therefore, the value for common factors is 216.
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 = 120280241088/(3x216)
LCM = 120280241088/648
LCM = 185617656
Thus, we can understand that the LCM of 906,504,324,813 is 185617656.
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FAQs on LCM of 906, 504, 324, 813
1. What is the LCM of 906, 504, 324, 813?
Answer: LCM of 906, 504, 324, 813 is 185617656.
2. How to calculate the LCM of 906, 504, 324, 813?
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 906, 504, 324, 813.
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}.