Find the LCM of 563, 247, 171, 190 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, 247, 171, 190. So, keep reading to learn more.
Given numbers are 563,247,171,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,247,171,190 is 12515490.
Find LCM of 563,247,171,190 with Prime Factorization
19 | 563, 247, 171, 190 |
563, 13, 9, 10 |
Multiply the prime numbers at the bottom and the left side.
19 x 563 x 13 x 9 x 10 = 12515490
Therefore, the lowest common multiple of 563,247,171,190 is 12515490.
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 247 x 171 x 190 = 4518091890
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
247 : 1, 13, 19, 247
171 : 1, 3, 9, 19, 57, 171
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,247,171,190, is 1.
Now, the common factors can be found like this.
563:563
247:13x 19
171:3x 3x 19
190:2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19 = 361
Therefore, the value for common factors is 361.
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 = 4518091890/(1x361)
LCM = 4518091890/361
LCM = 12515490
Thus, we can understand that the LCM of 563,247,171,190 is 12515490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 247, 171, 190?
Answer: LCM of 563, 247, 171, 190 is 12515490.
2. How to calculate the LCM of 563, 247, 171, 190?
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, 247, 171, 190.
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}.