LCM of 606, 589, 864, 522, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 589, 864, 522, 685 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 606, 589, 864, 522, 685. So, keep reading to learn more.
Given numbers are 606,589,864,522,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,589,864,522,685 is 1021031123040.
Find LCM of 606,589,864,522,685 with Prime Factorization
| 2 | 606, 589, 864, 522, 685 |
| 3 | 303, 589, 432, 261, 685 |
| 3 | 101, 589, 144, 87, 685 |
| 101, 589, 48, 29, 685 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 589 x 48 x 29 x 685 = 1021031123040
Therefore, the lowest common multiple of 606,589,864,522,685 is 1021031123040.
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.
606 x 589 x 864 x 522 x 685 = 110271361288320
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
589 : 1, 19, 31, 589
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,589,864,522,685, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
589:19x 31
864:2x 2x 2x 2x 2x 3x 3x 3
522:2x 3x 3x 29
685:5x 137
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 110271361288320/(1x108)
LCM = 110271361288320/108
LCM = 1021031123040
Thus, we can understand that the LCM of 606,589,864,522,685 is 1021031123040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 589, 864, 522, 685
1. What is the LCM of 606, 589, 864, 522, 685?
Answer: LCM of 606, 589, 864, 522, 685 is 1021031123040.
2. How to calculate the LCM of 606, 589, 864, 522, 685?
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 606, 589, 864, 522, 685.
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}.