LCM of 729, 456, 576, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 456, 576, 889 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 729, 456, 576, 889. So, keep reading to learn more.
Given numbers are 729,456,576,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,456,576,889 is 788066496.
Find LCM of 729,456,576,889 with Prime Factorization
| 2 | 729, 456, 576, 889 |
| 2 | 729, 228, 288, 889 |
| 2 | 729, 114, 144, 889 |
| 3 | 729, 57, 72, 889 |
| 3 | 243, 19, 24, 889 |
| 81, 19, 8, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 81 x 19 x 8 x 889 = 788066496
Therefore, the lowest common multiple of 729,456,576,889 is 788066496.
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.
729 x 456 x 576 x 889 = 170222363136
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.
729 : 1, 3, 9, 27, 81, 243, 729
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,456,576,889, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
456:2x 2x 2x 3x 19
576:2x 2x 2x 2x 2x 2x 3x 3
889:7x 127
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 = 170222363136/(1x216)
LCM = 170222363136/216
LCM = 788066496
Thus, we can understand that the LCM of 729,456,576,889 is 788066496.
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FAQs on LCM of 729, 456, 576, 889
1. What is the LCM of 729, 456, 576, 889?
Answer: LCM of 729, 456, 576, 889 is 788066496.
2. How to calculate the LCM of 729, 456, 576, 889?
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 729, 456, 576, 889.
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}.