LCM of 200, 680, 442, 559, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 680, 442, 559, 865 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 200, 680, 442, 559, 865. So, keep reading to learn more.
Given numbers are 200,680,442,559,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,680,442,559,865 is 328803800.
Find LCM of 200,680,442,559,865 with Prime Factorization
| 2 | 200, 680, 442, 559, 865 |
| 2 | 100, 340, 221, 559, 865 |
| 2 | 50, 170, 221, 559, 865 |
| 5 | 25, 85, 221, 559, 865 |
| 13 | 5, 17, 221, 559, 173 |
| 17 | 5, 17, 17, 43, 173 |
| 5, 1, 1, 43, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 17 x 5 x 1 x 1 x 43 x 173 = 328803800
Therefore, the lowest common multiple of 200,680,442,559,865 is 328803800.
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.
200 x 680 x 442 x 559 x 865 = 29066255920000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
442 : 1, 2, 13, 17, 26, 34, 221, 442
559 : 1, 13, 43, 559
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,680,442,559,865, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
680:2x 2x 2x 5x 17
442:2x 13x 17
559:13x 43
865:5x 173
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 5x 5x 13x 17 = 88400
Therefore, the value for common factors is 88400.
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 = 29066255920000/(1x88400)
LCM = 29066255920000/88400
LCM = 328803800
Thus, we can understand that the LCM of 200,680,442,559,865 is 328803800.
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FAQs on LCM of 200, 680, 442, 559, 865
1. What is the LCM of 200, 680, 442, 559, 865?
Answer: LCM of 200, 680, 442, 559, 865 is 328803800.
2. How to calculate the LCM of 200, 680, 442, 559, 865?
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 200, 680, 442, 559, 865.
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}.