LCM of 284, 935, 460, 560, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 935, 460, 560, 725 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 284, 935, 460, 560, 725. So, keep reading to learn more.
Given numbers are 284,935,460,560,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,935,460,560,725 is 24796125200.
Find LCM of 284,935,460,560,725 with Prime Factorization
| 2 | 284, 935, 460, 560, 725 |
| 2 | 142, 935, 230, 280, 725 |
| 5 | 71, 935, 115, 140, 725 |
| 71, 187, 23, 28, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 71 x 187 x 23 x 28 x 145 = 24796125200
Therefore, the lowest common multiple of 284,935,460,560,725 is 24796125200.
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.
284 x 935 x 460 x 560 x 725 = 49592250400000
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.
284 : 1, 2, 4, 71, 142, 284
935 : 1, 5, 11, 17, 55, 85, 187, 935
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,935,460,560,725, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
935:5x 11x 17
460:2x 2x 5x 23
560:2x 2x 2x 2x 5x 7
725:5x 5x 29
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 5 = 2000
Therefore, the value for common factors is 2000.
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 = 49592250400000/(1x2000)
LCM = 49592250400000/2000
LCM = 24796125200
Thus, we can understand that the LCM of 284,935,460,560,725 is 24796125200.
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FAQs on LCM of 284, 935, 460, 560, 725
1. What is the LCM of 284, 935, 460, 560, 725?
Answer: LCM of 284, 935, 460, 560, 725 is 24796125200.
2. How to calculate the LCM of 284, 935, 460, 560, 725?
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 284, 935, 460, 560, 725.
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}.