LCM of 873, 582, 288, 629, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 582, 288, 629, 225 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 873, 582, 288, 629, 225. So, keep reading to learn more.
Given numbers are 873,582,288,629,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,582,288,629,225 is 439293600.
Find LCM of 873,582,288,629,225 with Prime Factorization
| 2 | 873, 582, 288, 629, 225 |
| 3 | 873, 291, 144, 629, 225 |
| 3 | 97, 291, 48, 629, 75 |
| 97 | 97, 97, 16, 629, 25 |
| 1, 1, 16, 629, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 97 x 1 x 1 x 16 x 629 x 25 = 439293600
Therefore, the lowest common multiple of 873,582,288,629,225 is 439293600.
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.
873 x 582 x 288 x 629 x 225 = 20709178891200
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.
873 : 1, 3, 9, 97, 291, 873
582 : 1, 2, 3, 6, 97, 194, 291, 582
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
629 : 1, 17, 37, 629
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,582,288,629,225, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
582:2x 3x 97
288:2x 2x 2x 2x 2x 3x 3
629:17x 37
225:3x 3x 5x 5
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 3x 3x 97 = 47142
Therefore, the value for common factors is 47142.
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 = 20709178891200/(1x47142)
LCM = 20709178891200/47142
LCM = 439293600
Thus, we can understand that the LCM of 873,582,288,629,225 is 439293600.
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FAQs on LCM of 873, 582, 288, 629, 225
1. What is the LCM of 873, 582, 288, 629, 225?
Answer: LCM of 873, 582, 288, 629, 225 is 439293600.
2. How to calculate the LCM of 873, 582, 288, 629, 225?
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 873, 582, 288, 629, 225.
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}.