Find the LCM of 563, 912, 382, 738, 608 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 563, 912, 382, 738, 608. So, keep reading to learn more.
Given numbers are 563,912,382,738,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,912,382,738,608 is 24125243616.
Find LCM of 563,912,382,738,608 with Prime Factorization
2 | 563, 912, 382, 738, 608 |
2 | 563, 456, 191, 369, 304 |
2 | 563, 228, 191, 369, 152 |
2 | 563, 114, 191, 369, 76 |
3 | 563, 57, 191, 369, 38 |
19 | 563, 19, 191, 123, 38 |
563, 1, 191, 123, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 563 x 1 x 191 x 123 x 2 = 24125243616
Therefore, the lowest common multiple of 563,912,382,738,608 is 24125243616.
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.
563 x 912 x 382 x 738 x 608 = 88008888711168
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.
563 : 1, 563
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
382 : 1, 2, 191, 382
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,912,382,738,608, is 1.
Now, the common factors can be found like this.
563:563
912:2x 2x 2x 2x 3x 19
382:2x 191
738:2x 3x 3x 41
608:2x 2x 2x 2x 2x 19
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 3x 19 = 3648
Therefore, the value for common factors is 3648.
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 = 88008888711168/(1x3648)
LCM = 88008888711168/3648
LCM = 24125243616
Thus, we can understand that the LCM of 563,912,382,738,608 is 24125243616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 912, 382, 738, 608?
Answer: LCM of 563, 912, 382, 738, 608 is 24125243616.
2. How to calculate the LCM of 563, 912, 382, 738, 608?
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 563, 912, 382, 738, 608.
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}.