LCM of 529, 460, 200, 885, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 460, 200, 885, 516 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 529, 460, 200, 885, 516. So, keep reading to learn more.
Given numbers are 529,460,200,885,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,460,200,885,516 is 805243800.
Find LCM of 529,460,200,885,516 with Prime Factorization
| 2 | 529, 460, 200, 885, 516 |
| 2 | 529, 230, 100, 885, 258 |
| 3 | 529, 115, 50, 885, 129 |
| 5 | 529, 115, 50, 295, 43 |
| 23 | 529, 23, 10, 59, 43 |
| 1, 23, 10, 59, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 1 x 23 x 10 x 59 x 43 = 805243800
Therefore, the lowest common multiple of 529,460,200,885,516 is 805243800.
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.
529 x 460 x 200 x 885 x 516 = 22224728880000
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.
529 : 1, 23, 529
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
885 : 1, 3, 5, 15, 59, 177, 295, 885
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,460,200,885,516, is 1.
Now, the common factors can be found like this.
529:23x 23
460:2x 2x 5x 23
200:2x 2x 2x 5x 5
885:3x 5x 59
516:2x 2x 3x 43
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 3x 5x 5x 23 = 27600
Therefore, the value for common factors is 27600.
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 = 22224728880000/(1x27600)
LCM = 22224728880000/27600
LCM = 805243800
Thus, we can understand that the LCM of 529,460,200,885,516 is 805243800.
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FAQs on LCM of 529, 460, 200, 885, 516
1. What is the LCM of 529, 460, 200, 885, 516?
Answer: LCM of 529, 460, 200, 885, 516 is 805243800.
2. How to calculate the LCM of 529, 460, 200, 885, 516?
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 529, 460, 200, 885, 516.
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}.