LCM of 865, 800, 589, 240, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 800, 589, 240, 306 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 865, 800, 589, 240, 306. So, keep reading to learn more.
Given numbers are 865,800,589,240,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,800,589,240,306 is 12472192800.
Find LCM of 865,800,589,240,306 with Prime Factorization
| 2 | 865, 800, 589, 240, 306 |
| 2 | 865, 400, 589, 120, 153 |
| 2 | 865, 200, 589, 60, 153 |
| 2 | 865, 100, 589, 30, 153 |
| 3 | 865, 50, 589, 15, 153 |
| 5 | 865, 50, 589, 5, 51 |
| 173, 10, 589, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 173 x 10 x 589 x 1 x 51 = 12472192800
Therefore, the lowest common multiple of 865,800,589,240,306 is 12472192800.
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.
865 x 800 x 589 x 240 x 306 = 29933262720000
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.
865 : 1, 5, 173, 865
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
589 : 1, 19, 31, 589
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,800,589,240,306, is 1.
Now, the common factors can be found like this.
865:5x 173
800:2x 2x 2x 2x 2x 5x 5
589:19x 31
240:2x 2x 2x 2x 3x 5
306:2x 3x 3x 17
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 2x 2x 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 29933262720000/(1x2400)
LCM = 29933262720000/2400
LCM = 12472192800
Thus, we can understand that the LCM of 865,800,589,240,306 is 12472192800.
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FAQs on LCM of 865, 800, 589, 240, 306
1. What is the LCM of 865, 800, 589, 240, 306?
Answer: LCM of 865, 800, 589, 240, 306 is 12472192800.
2. How to calculate the LCM of 865, 800, 589, 240, 306?
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 865, 800, 589, 240, 306.
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}.