LCM of 566, 589, 800, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 566, 589, 800, 900 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 566, 589, 800, 900. So, keep reading to learn more.
Given numbers are 566,589,800,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,589,800,900 is 1200146400.
Find LCM of 566,589,800,900 with Prime Factorization
| 2 | 566, 589, 800, 900 |
| 2 | 283, 589, 400, 450 |
| 5 | 283, 589, 200, 225 |
| 5 | 283, 589, 40, 45 |
| 283, 589, 8, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 283 x 589 x 8 x 9 = 1200146400
Therefore, the lowest common multiple of 566,589,800,900 is 1200146400.
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.
566 x 589 x 800 x 900 = 240029280000
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.
566 : 1, 2, 283, 566
589 : 1, 19, 31, 589
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,589,800,900, is 1.
Now, the common factors can be found like this.
566:2x 283
589:19x 31
800:2x 2x 2x 2x 2x 5x 5
900:2x 2x 3x 3x 5x 5
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 240029280000/(1x200)
LCM = 240029280000/200
LCM = 1200146400
Thus, we can understand that the LCM of 566,589,800,900 is 1200146400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 566, 589, 800, 900
1. What is the LCM of 566, 589, 800, 900?
Answer: LCM of 566, 589, 800, 900 is 1200146400.
2. How to calculate the LCM of 566, 589, 800, 900?
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 566, 589, 800, 900.
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}.