LCM of 385, 990, 930, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 990, 930, 806 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 385, 990, 930, 806. So, keep reading to learn more.
Given numbers are 385,990,930,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,990,930,806 is 2792790.
Find LCM of 385,990,930,806 with Prime Factorization
| 2 | 385, 990, 930, 806 |
| 3 | 385, 495, 465, 403 |
| 5 | 385, 165, 155, 403 |
| 11 | 77, 33, 31, 403 |
| 31 | 7, 3, 31, 403 |
| 7, 3, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 31 x 7 x 3 x 1 x 13 = 2792790
Therefore, the lowest common multiple of 385,990,930,806 is 2792790.
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.
385 x 990 x 930 x 806 = 285702417000
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
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
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,990,930,806, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
990:2x 3x 3x 5x 11
930:2x 3x 5x 31
806:2x 13x 31
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 31 = 102300
Therefore, the value for common factors is 102300.
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 = 285702417000/(1x102300)
LCM = 285702417000/102300
LCM = 2792790
Thus, we can understand that the LCM of 385,990,930,806 is 2792790.
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FAQs on LCM of 385, 990, 930, 806
1. What is the LCM of 385, 990, 930, 806?
Answer: LCM of 385, 990, 930, 806 is 2792790.
2. How to calculate the LCM of 385, 990, 930, 806?
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 385, 990, 930, 806.
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}.