LCM of 260, 559, 489, 488, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 559, 489, 488, 954 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 260, 559, 489, 488, 954. So, keep reading to learn more.
Given numbers are 260,559,489,488,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,559,489,488,954 is 106049253960.
Find LCM of 260,559,489,488,954 with Prime Factorization
| 2 | 260, 559, 489, 488, 954 |
| 2 | 130, 559, 489, 244, 477 |
| 3 | 65, 559, 489, 122, 477 |
| 13 | 65, 559, 163, 122, 159 |
| 5, 43, 163, 122, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 5 x 43 x 163 x 122 x 159 = 106049253960
Therefore, the lowest common multiple of 260,559,489,488,954 is 106049253960.
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.
260 x 559 x 489 x 488 x 954 = 33087367235520
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
559 : 1, 13, 43, 559
489 : 1, 3, 163, 489
488 : 1, 2, 4, 8, 61, 122, 244, 488
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,559,489,488,954, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
559:13x 43
489:3x 163
488:2x 2x 2x 61
954:2x 3x 3x 53
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 33087367235520/(1x312)
LCM = 33087367235520/312
LCM = 106049253960
Thus, we can understand that the LCM of 260,559,489,488,954 is 106049253960.
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FAQs on LCM of 260, 559, 489, 488, 954
1. What is the LCM of 260, 559, 489, 488, 954?
Answer: LCM of 260, 559, 489, 488, 954 is 106049253960.
2. How to calculate the LCM of 260, 559, 489, 488, 954?
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 260, 559, 489, 488, 954.
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}.