Find the LCM of 563, 978, 756, 305, 468 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, 978, 756, 305, 468. So, keep reading to learn more.
Given numbers are 563,978,756,305,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,978,756,305,468 is 275081248260.
Find LCM of 563,978,756,305,468 with Prime Factorization
2 | 563, 978, 756, 305, 468 |
2 | 563, 489, 378, 305, 234 |
3 | 563, 489, 189, 305, 117 |
3 | 563, 163, 63, 305, 39 |
563, 163, 21, 305, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 563 x 163 x 21 x 305 x 13 = 275081248260
Therefore, the lowest common multiple of 563,978,756,305,468 is 275081248260.
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 978 x 756 x 305 x 468 = 59417549624160
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
305 : 1, 5, 61, 305
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,978,756,305,468, is 1.
Now, the common factors can be found like this.
563:563
978:2x 3x 163
756:2x 2x 3x 3x 3x 7
305:5x 61
468:2x 2x 3x 3x 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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 59417549624160/(1x216)
LCM = 59417549624160/216
LCM = 275081248260
Thus, we can understand that the LCM of 563,978,756,305,468 is 275081248260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 978, 756, 305, 468?
Answer: LCM of 563, 978, 756, 305, 468 is 275081248260.
2. How to calculate the LCM of 563, 978, 756, 305, 468?
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, 978, 756, 305, 468.
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}.