Find the LCM of 728, 907, 469, 973, 469 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 728, 907, 469, 973, 469. So, keep reading to learn more.
Given numbers are 728,907,469,973,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,907,469,973,469 is 6149336648.
Find LCM of 728,907,469,973,469 with Prime Factorization
7 | 728, 907, 469, 973, 469 |
67 | 104, 907, 67, 139, 67 |
104, 907, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 67 x 104 x 907 x 1 x 139 x 1 = 6149336648
Therefore, the lowest common multiple of 728,907,469,973,469 is 6149336648.
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.
728 x 907 x 469 x 973 x 469 = 141317905507688
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
907 : 1, 907
469 : 1, 7, 67, 469
973 : 1, 7, 139, 973
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,907,469,973,469, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
907:907
469:7x 67
973:7x 139
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 67 = 22981
Therefore, the value for common factors is 22981.
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 = 141317905507688/(1x22981)
LCM = 141317905507688/22981
LCM = 6149336648
Thus, we can understand that the LCM of 728,907,469,973,469 is 6149336648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 907, 469, 973, 469?
Answer: LCM of 728, 907, 469, 973, 469 is 6149336648.
2. How to calculate the LCM of 728, 907, 469, 973, 469?
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 728, 907, 469, 973, 469.
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}.