Find the LCM of 731, 772, 533, 717, 949 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 731, 772, 533, 717, 949. So, keep reading to learn more.
Given numbers are 731,772,533,717,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,772,533,717,949 is 15743594745996.
Find LCM of 731,772,533,717,949 with Prime Factorization
13 | 731, 772, 533, 717, 949 |
731, 772, 41, 717, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 731 x 772 x 41 x 717 x 73 = 15743594745996
Therefore, the lowest common multiple of 731,772,533,717,949 is 15743594745996.
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.
731 x 772 x 533 x 717 x 949 = 204666731697948
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.
731 : 1, 17, 43, 731
772 : 1, 2, 4, 193, 386, 772
533 : 1, 13, 41, 533
717 : 1, 3, 239, 717
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,772,533,717,949, is 1.
Now, the common factors can be found like this.
731:17x 43
772:2x 2x 193
533:13x 41
717:3x 239
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 204666731697948/(1x13)
LCM = 204666731697948/13
LCM = 15743594745996
Thus, we can understand that the LCM of 731,772,533,717,949 is 15743594745996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 772, 533, 717, 949?
Answer: LCM of 731, 772, 533, 717, 949 is 15743594745996.
2. How to calculate the LCM of 731, 772, 533, 717, 949?
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 731, 772, 533, 717, 949.
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}.