Find the LCM of 447, 731, 985, 903, 273 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 447, 731, 985, 903, 273. So, keep reading to learn more.
Given numbers are 447,731,985,903,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,731,985,903,273 is 29288863695.
Find LCM of 447,731,985,903,273 with Prime Factorization
3 | 447, 731, 985, 903, 273 |
7 | 149, 731, 985, 301, 91 |
43 | 149, 731, 985, 43, 13 |
149, 17, 985, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 149 x 17 x 985 x 1 x 13 = 29288863695
Therefore, the lowest common multiple of 447,731,985,903,273 is 29288863695.
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.
447 x 731 x 985 x 903 x 273 = 79343531749755
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.
447 : 1, 3, 149, 447
731 : 1, 17, 43, 731
985 : 1, 5, 197, 985
903 : 1, 3, 7, 21, 43, 129, 301, 903
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,731,985,903,273, is 1.
Now, the common factors can be found like this.
447:3x 149
731:17x 43
985:5x 197
903:3x 7x 43
273:3x 7x 13
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 7x 43 = 2709
Therefore, the value for common factors is 2709.
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 = 79343531749755/(1x2709)
LCM = 79343531749755/2709
LCM = 29288863695
Thus, we can understand that the LCM of 447,731,985,903,273 is 29288863695.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 731, 985, 903, 273?
Answer: LCM of 447, 731, 985, 903, 273 is 29288863695.
2. How to calculate the LCM of 447, 731, 985, 903, 273?
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 447, 731, 985, 903, 273.
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}.