LCM of 599, 990, 451, 880, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 990, 451, 880, 330 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 599, 990, 451, 880, 330. So, keep reading to learn more.
Given numbers are 599,990,451,880,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,990,451,880,330 is 194507280.
Find LCM of 599,990,451,880,330 with Prime Factorization
| 2 | 599, 990, 451, 880, 330 |
| 3 | 599, 495, 451, 440, 165 |
| 5 | 599, 55, 451, 440, 165 |
| 11 | 599, 11, 451, 88, 33 |
| 599, 1, 41, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 599 x 1 x 41 x 8 x 3 = 194507280
Therefore, the lowest common multiple of 599,990,451,880,330 is 194507280.
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.
599 x 990 x 451 x 880 x 330 = 77666756904000
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.
599 : 1, 599
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
451 : 1, 11, 41, 451
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,990,451,880,330, is 1.
Now, the common factors can be found like this.
599:599
990:2x 3x 3x 5x 11
451:11x 41
880:2x 2x 2x 2x 5x 11
330:2x 3x 5x 11
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 5x 5x 11x 11x 11 = 399300
Therefore, the value for common factors is 399300.
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 = 77666756904000/(1x399300)
LCM = 77666756904000/399300
LCM = 194507280
Thus, we can understand that the LCM of 599,990,451,880,330 is 194507280.
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FAQs on LCM of 599, 990, 451, 880, 330
1. What is the LCM of 599, 990, 451, 880, 330?
Answer: LCM of 599, 990, 451, 880, 330 is 194507280.
2. How to calculate the LCM of 599, 990, 451, 880, 330?
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 599, 990, 451, 880, 330.
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}.