Find the LCM of 121, 287, 940, 529, 460 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 121, 287, 940, 529, 460. So, keep reading to learn more.
Given numbers are 121,287,940,529,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,287,940,529,460 is 17268348020.
Find LCM of 121,287,940,529,460 with Prime Factorization
2 | 121, 287, 940, 529, 460 |
2 | 121, 287, 470, 529, 230 |
5 | 121, 287, 235, 529, 115 |
23 | 121, 287, 47, 529, 23 |
121, 287, 47, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 121 x 287 x 47 x 1 x 23 = 17268348020
Therefore, the lowest common multiple of 121,287,940,529,460 is 17268348020.
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.
121 x 287 x 940 x 529 x 460 = 7943440089200
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.
121 : 1, 11, 121
287 : 1, 7, 41, 287
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
529 : 1, 23, 529
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,287,940,529,460, is 1.
Now, the common factors can be found like this.
121:11x 11
287:7x 41
940:2x 2x 5x 47
529:23x 23
460:2x 2x 5x 23
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 7943440089200/(1x460)
LCM = 7943440089200/460
LCM = 17268348020
Thus, we can understand that the LCM of 121,287,940,529,460 is 17268348020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 287, 940, 529, 460?
Answer: LCM of 121, 287, 940, 529, 460 is 17268348020.
2. How to calculate the LCM of 121, 287, 940, 529, 460?
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 121, 287, 940, 529, 460.
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}.