LCM of 996, 480, 520, 280, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 480, 520, 280, 494 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 996, 480, 520, 280, 494. So, keep reading to learn more.
Given numbers are 996,480,520,280,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,480,520,280,494 is 68883360.
Find LCM of 996,480,520,280,494 with Prime Factorization
| 2 | 996, 480, 520, 280, 494 |
| 2 | 498, 240, 260, 140, 247 |
| 2 | 249, 120, 130, 70, 247 |
| 3 | 249, 60, 65, 35, 247 |
| 5 | 83, 20, 65, 35, 247 |
| 13 | 83, 4, 13, 7, 247 |
| 83, 4, 1, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 83 x 4 x 1 x 7 x 19 = 68883360
Therefore, the lowest common multiple of 996,480,520,280,494 is 68883360.
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.
996 x 480 x 520 x 280 x 494 = 34386573312000
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,480,520,280,494, is 2.
Now, the common factors can be found like this.
996:2x 2x 3x 83
480:2x 2x 2x 2x 2x 3x 5
520:2x 2x 2x 5x 13
280:2x 2x 2x 5x 7
494:2x 13x 19
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 2x 2x 2x 2x 3x 5x 5x 13 = 249600
Therefore, the value for common factors is 249600.
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 = 34386573312000/(2x249600)
LCM = 34386573312000/499200
LCM = 68883360
Thus, we can understand that the LCM of 996,480,520,280,494 is 68883360.
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FAQs on LCM of 996, 480, 520, 280, 494
1. What is the LCM of 996, 480, 520, 280, 494?
Answer: LCM of 996, 480, 520, 280, 494 is 68883360.
2. How to calculate the LCM of 996, 480, 520, 280, 494?
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 996, 480, 520, 280, 494.
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}.