Find the LCM of 766, 481, 731, 728 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 766, 481, 731, 728. So, keep reading to learn more.
Given numbers are 766,481,731,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,481,731,728 is 7541352728.
Find LCM of 766,481,731,728 with Prime Factorization
2 | 766, 481, 731, 728 |
13 | 383, 481, 731, 364 |
383, 37, 731, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 383 x 37 x 731 x 28 = 7541352728
Therefore, the lowest common multiple of 766,481,731,728 is 7541352728.
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.
766 x 481 x 731 x 728 = 196075170928
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.
766 : 1, 2, 383, 766
481 : 1, 13, 37, 481
731 : 1, 17, 43, 731
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,481,731,728, is 1.
Now, the common factors can be found like this.
766:2x 383
481:13x 37
731:17x 43
728:2x 2x 2x 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.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 196075170928/(1x26)
LCM = 196075170928/26
LCM = 7541352728
Thus, we can understand that the LCM of 766,481,731,728 is 7541352728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 481, 731, 728?
Answer: LCM of 766, 481, 731, 728 is 7541352728.
2. How to calculate the LCM of 766, 481, 731, 728?
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 766, 481, 731, 728.
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}.