Find the LCM of 165, 566, 717, 875 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 165, 566, 717, 875. So, keep reading to learn more.
Given numbers are 165,566,717,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,566,717,875 is 3906036750.
Find LCM of 165,566,717,875 with Prime Factorization
3 | 165, 566, 717, 875 |
5 | 55, 566, 239, 875 |
11, 566, 239, 175 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 566 x 239 x 175 = 3906036750
Therefore, the lowest common multiple of 165,566,717,875 is 3906036750.
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.
165 x 566 x 717 x 875 = 58590551250
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
566 : 1, 2, 283, 566
717 : 1, 3, 239, 717
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,566,717,875, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
566:2x 283
717:3x 239
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 58590551250/(1x15)
LCM = 58590551250/15
LCM = 3906036750
Thus, we can understand that the LCM of 165,566,717,875 is 3906036750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 566, 717, 875?
Answer: LCM of 165, 566, 717, 875 is 3906036750.
2. How to calculate the LCM of 165, 566, 717, 875?
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 165, 566, 717, 875.
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}.