LCM of 330, 386, 812, 745, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 386, 812, 745, 799 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, 386, 812, 745, 799. So, keep reading to learn more.
Given numbers are 330,386,812,745,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,386,812,745,799 is 3078437425140.
Find LCM of 330,386,812,745,799 with Prime Factorization
| 2 | 330, 386, 812, 745, 799 |
| 5 | 165, 193, 406, 745, 799 |
| 33, 193, 406, 149, 799 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 33 x 193 x 406 x 149 x 799 = 3078437425140
Therefore, the lowest common multiple of 330,386,812,745,799 is 3078437425140.
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 386 x 812 x 745 x 799 = 61568748502800
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
386 : 1, 2, 193, 386
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
745 : 1, 5, 149, 745
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,386,812,745,799, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
386:2x 193
812:2x 2x 7x 29
745:5x 149
799:17x 47
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 5 = 20
Therefore, the value for common factors is 20.
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 = 61568748502800/(1x20)
LCM = 61568748502800/20
LCM = 3078437425140
Thus, we can understand that the LCM of 330,386,812,745,799 is 3078437425140.
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FAQs on LCM of 330, 386, 812, 745, 799
1. What is the LCM of 330, 386, 812, 745, 799?
Answer: LCM of 330, 386, 812, 745, 799 is 3078437425140.
2. How to calculate the LCM of 330, 386, 812, 745, 799?
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, 386, 812, 745, 799.
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}.