LCM of 330, 990, 459, 833, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 990, 459, 833, 984 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 330, 990, 459, 833, 984. So, keep reading to learn more.
Given numbers are 330,990,459,833,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,990,459,833,984 is 405737640.
Find LCM of 330,990,459,833,984 with Prime Factorization
| 2 | 330, 990, 459, 833, 984 |
| 3 | 165, 495, 459, 833, 492 |
| 3 | 55, 165, 153, 833, 164 |
| 5 | 55, 55, 51, 833, 164 |
| 11 | 11, 11, 51, 833, 164 |
| 17 | 1, 1, 51, 833, 164 |
| 1, 1, 3, 49, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 17 x 1 x 1 x 3 x 49 x 164 = 405737640
Therefore, the lowest common multiple of 330,990,459,833,984 is 405737640.
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.
330 x 990 x 459 x 833 x 984 = 122914160661600
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
459 : 1, 3, 9, 17, 27, 51, 153, 459
833 : 1, 7, 17, 49, 119, 833
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,990,459,833,984, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
990:2x 3x 3x 5x 11
459:3x 3x 3x 17
833:7x 7x 17
984:2x 2x 2x 3x 41
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 3x 3x 5x 11x 17 = 302940
Therefore, the value for common factors is 302940.
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 = 122914160661600/(1x302940)
LCM = 122914160661600/302940
LCM = 405737640
Thus, we can understand that the LCM of 330,990,459,833,984 is 405737640.
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FAQs on LCM of 330, 990, 459, 833, 984
1. What is the LCM of 330, 990, 459, 833, 984?
Answer: LCM of 330, 990, 459, 833, 984 is 405737640.
2. How to calculate the LCM of 330, 990, 459, 833, 984?
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 330, 990, 459, 833, 984.
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}.