LCM of 627, 504, 135, 729, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 504, 135, 729, 811 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 627, 504, 135, 729, 811. So, keep reading to learn more.
Given numbers are 627,504,135,729,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,504,135,729,811 is 34598135880.
Find LCM of 627,504,135,729,811 with Prime Factorization
| 3 | 627, 504, 135, 729, 811 |
| 3 | 209, 168, 45, 243, 811 |
| 3 | 209, 56, 15, 81, 811 |
| 209, 56, 5, 27, 811 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 209 x 56 x 5 x 27 x 811 = 34598135880
Therefore, the lowest common multiple of 627,504,135,729,811 is 34598135880.
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.
627 x 504 x 135 x 729 x 811 = 25222041056520
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
729 : 1, 3, 9, 27, 81, 243, 729
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,504,135,729,811, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
504:2x 2x 2x 3x 3x 7
135:3x 3x 3x 5
729:3x 3x 3x 3x 3x 3
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 25222041056520/(1x729)
LCM = 25222041056520/729
LCM = 34598135880
Thus, we can understand that the LCM of 627,504,135,729,811 is 34598135880.
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FAQs on LCM of 627, 504, 135, 729, 811
1. What is the LCM of 627, 504, 135, 729, 811?
Answer: LCM of 627, 504, 135, 729, 811 is 34598135880.
2. How to calculate the LCM of 627, 504, 135, 729, 811?
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 627, 504, 135, 729, 811.
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}.