Find the LCM of 128, 596, 608, 804, 706 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 128, 596, 608, 804, 706. So, keep reading to learn more.
Given numbers are 128,596,608,804,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,596,608,804,706 is 25711096704.
Find LCM of 128,596,608,804,706 with Prime Factorization
2 | 128, 596, 608, 804, 706 |
2 | 64, 298, 304, 402, 353 |
2 | 32, 149, 152, 201, 353 |
2 | 16, 149, 76, 201, 353 |
2 | 8, 149, 38, 201, 353 |
4, 149, 19, 201, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 4 x 149 x 19 x 201 x 353 = 25711096704
Therefore, the lowest common multiple of 128,596,608,804,706 is 25711096704.
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.
128 x 596 x 608 x 804 x 706 = 26328163024896
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
596 : 1, 2, 4, 149, 298, 596
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
706 : 1, 2, 353, 706
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,596,608,804,706, is 2.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
596:2x 2x 149
608:2x 2x 2x 2x 2x 19
804:2x 2x 3x 67
706:2x 353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 26328163024896/(2x512)
LCM = 26328163024896/1024
LCM = 25711096704
Thus, we can understand that the LCM of 128,596,608,804,706 is 25711096704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 596, 608, 804, 706?
Answer: LCM of 128, 596, 608, 804, 706 is 25711096704.
2. How to calculate the LCM of 128, 596, 608, 804, 706?
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 128, 596, 608, 804, 706.
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}.