LCM of 494, 286, 963, 580, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 286, 963, 580, 963 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 494, 286, 963, 580, 963. So, keep reading to learn more.
Given numbers are 494,286,963,580,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,286,963,580,963 is 1517553180.
Find LCM of 494,286,963,580,963 with Prime Factorization
| 2 | 494, 286, 963, 580, 963 |
| 3 | 247, 143, 963, 290, 963 |
| 3 | 247, 143, 321, 290, 321 |
| 13 | 247, 143, 107, 290, 107 |
| 107 | 19, 11, 107, 290, 107 |
| 19, 11, 1, 290, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 107 x 19 x 11 x 1 x 290 x 1 = 1517553180
Therefore, the lowest common multiple of 494,286,963,580,963 is 1517553180.
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.
494 x 286 x 963 x 580 x 963 = 75992993041680
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
286 : 1, 2, 11, 13, 22, 26, 143, 286
963 : 1, 3, 9, 107, 321, 963
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,286,963,580,963, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
286:2x 11x 13
963:3x 3x 107
580:2x 2x 5x 29
963:3x 3x 107
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 3x 3x 13x 107 = 50076
Therefore, the value for common factors is 50076.
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 = 75992993041680/(1x50076)
LCM = 75992993041680/50076
LCM = 1517553180
Thus, we can understand that the LCM of 494,286,963,580,963 is 1517553180.
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FAQs on LCM of 494, 286, 963, 580, 963
1. What is the LCM of 494, 286, 963, 580, 963?
Answer: LCM of 494, 286, 963, 580, 963 is 1517553180.
2. How to calculate the LCM of 494, 286, 963, 580, 963?
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 494, 286, 963, 580, 963.
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}.