LCM of 914, 975, 872, 200, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 975, 872, 200, 218 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 914, 975, 872, 200, 218. So, keep reading to learn more.
Given numbers are 914,975,872,200,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,975,872,200,218 is 388541400.
Find LCM of 914,975,872,200,218 with Prime Factorization
| 2 | 914, 975, 872, 200, 218 |
| 2 | 457, 975, 436, 100, 109 |
| 2 | 457, 975, 218, 50, 109 |
| 5 | 457, 975, 109, 25, 109 |
| 5 | 457, 195, 109, 5, 109 |
| 109 | 457, 39, 109, 1, 109 |
| 457, 39, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 109 x 457 x 39 x 1 x 1 x 1 = 388541400
Therefore, the lowest common multiple of 914,975,872,200,218 is 388541400.
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.
914 x 975 x 872 x 200 x 218 = 33880810080000
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.
914 : 1, 2, 457, 914
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
872 : 1, 2, 4, 8, 109, 218, 436, 872
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,975,872,200,218, is 1.
Now, the common factors can be found like this.
914:2x 457
975:3x 5x 5x 13
872:2x 2x 2x 109
200:2x 2x 2x 5x 5
218:2x 109
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 5x 5x 109 = 87200
Therefore, the value for common factors is 87200.
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 = 33880810080000/(1x87200)
LCM = 33880810080000/87200
LCM = 388541400
Thus, we can understand that the LCM of 914,975,872,200,218 is 388541400.
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FAQs on LCM of 914, 975, 872, 200, 218
1. What is the LCM of 914, 975, 872, 200, 218?
Answer: LCM of 914, 975, 872, 200, 218 is 388541400.
2. How to calculate the LCM of 914, 975, 872, 200, 218?
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 914, 975, 872, 200, 218.
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}.