Find the LCM of 514, 605, 290, 825, 985 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 514, 605, 290, 825, 985. So, keep reading to learn more.
Given numbers are 514,605,290,825,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,605,290,825,985 is 26648574150.
Find LCM of 514,605,290,825,985 with Prime Factorization
2 | 514, 605, 290, 825, 985 |
5 | 257, 605, 145, 825, 985 |
11 | 257, 121, 29, 165, 197 |
257, 11, 29, 15, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 257 x 11 x 29 x 15 x 197 = 26648574150
Therefore, the lowest common multiple of 514,605,290,825,985 is 26648574150.
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.
514 x 605 x 290 x 825 x 985 = 73283578912500
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.
514 : 1, 2, 257, 514
605 : 1, 5, 11, 55, 121, 605
290 : 1, 2, 5, 10, 29, 58, 145, 290
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,605,290,825,985, is 1.
Now, the common factors can be found like this.
514:2x 257
605:5x 11x 11
290:2x 5x 29
825:3x 5x 5x 11
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 11 = 2750
Therefore, the value for common factors is 2750.
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 = 73283578912500/(1x2750)
LCM = 73283578912500/2750
LCM = 26648574150
Thus, we can understand that the LCM of 514,605,290,825,985 is 26648574150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 605, 290, 825, 985?
Answer: LCM of 514, 605, 290, 825, 985 is 26648574150.
2. How to calculate the LCM of 514, 605, 290, 825, 985?
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 514, 605, 290, 825, 985.
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}.