LCM of 729, 123, 198, 654, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 123, 198, 654, 285 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, 123, 198, 654, 285. So, keep reading to learn more.
Given numbers are 729,123,198,654,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,123,198,654,285 is 6809013090.
Find LCM of 729,123,198,654,285 with Prime Factorization
| 2 | 729, 123, 198, 654, 285 |
| 3 | 729, 123, 99, 327, 285 |
| 3 | 243, 41, 33, 109, 95 |
| 81, 41, 11, 109, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 81 x 41 x 11 x 109 x 95 = 6809013090
Therefore, the lowest common multiple of 729,123,198,654,285 is 6809013090.
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 123 x 198 x 654 x 285 = 3309180361740
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
123 : 1, 3, 41, 123
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
654 : 1, 2, 3, 6, 109, 218, 327, 654
285 : 1, 3, 5, 15, 19, 57, 95, 285
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,123,198,654,285, is 3.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
123:3x 41
198:2x 3x 3x 11
654:2x 3x 109
285:3x 5x 19
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 = 3309180361740/(3x162)
LCM = 3309180361740/486
LCM = 6809013090
Thus, we can understand that the LCM of 729,123,198,654,285 is 6809013090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 123, 198, 654, 285
1. What is the LCM of 729, 123, 198, 654, 285?
Answer: LCM of 729, 123, 198, 654, 285 is 6809013090.
2. How to calculate the LCM of 729, 123, 198, 654, 285?
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, 123, 198, 654, 285.
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}.