LCM of 232, 180, 243, 616, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 180, 243, 616, 447 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 232, 180, 243, 616, 447. So, keep reading to learn more.
Given numbers are 232,180,243,616,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,180,243,616,447 is 3234009240.
Find LCM of 232,180,243,616,447 with Prime Factorization
| 2 | 232, 180, 243, 616, 447 |
| 2 | 116, 90, 243, 308, 447 |
| 2 | 58, 45, 243, 154, 447 |
| 3 | 29, 45, 243, 77, 447 |
| 3 | 29, 15, 81, 77, 149 |
| 29, 5, 27, 77, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 5 x 27 x 77 x 149 = 3234009240
Therefore, the lowest common multiple of 232,180,243,616,447 is 3234009240.
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.
232 x 180 x 243 x 616 x 447 = 2794183983360
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
243 : 1, 3, 9, 27, 81, 243
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,180,243,616,447, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
180:2x 2x 3x 3x 5
243:3x 3x 3x 3x 3
616:2x 2x 2x 7x 11
447:3x 149
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 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 2794183983360/(1x864)
LCM = 2794183983360/864
LCM = 3234009240
Thus, we can understand that the LCM of 232,180,243,616,447 is 3234009240.
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FAQs on LCM of 232, 180, 243, 616, 447
1. What is the LCM of 232, 180, 243, 616, 447?
Answer: LCM of 232, 180, 243, 616, 447 is 3234009240.
2. How to calculate the LCM of 232, 180, 243, 616, 447?
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 232, 180, 243, 616, 447.
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}.