LCM of 816, 850, 808, 930, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 850, 808, 930, 197 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 816, 850, 808, 930, 197. So, keep reading to learn more.
Given numbers are 816,850,808,930,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,850,808,930,197 is 12582862800.
Find LCM of 816,850,808,930,197 with Prime Factorization
| 2 | 816, 850, 808, 930, 197 |
| 2 | 408, 425, 404, 465, 197 |
| 2 | 204, 425, 202, 465, 197 |
| 3 | 102, 425, 101, 465, 197 |
| 5 | 34, 425, 101, 155, 197 |
| 17 | 34, 85, 101, 31, 197 |
| 2, 5, 101, 31, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 2 x 5 x 101 x 31 x 197 = 12582862800
Therefore, the lowest common multiple of 816,850,808,930,197 is 12582862800.
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.
816 x 850 x 808 x 930 x 197 = 102676160448000
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
808 : 1, 2, 4, 8, 101, 202, 404, 808
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,850,808,930,197, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
850:2x 5x 5x 17
808:2x 2x 2x 101
930:2x 3x 5x 31
197:197
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 3x 5x 17 = 8160
Therefore, the value for common factors is 8160.
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 = 102676160448000/(1x8160)
LCM = 102676160448000/8160
LCM = 12582862800
Thus, we can understand that the LCM of 816,850,808,930,197 is 12582862800.
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FAQs on LCM of 816, 850, 808, 930, 197
1. What is the LCM of 816, 850, 808, 930, 197?
Answer: LCM of 816, 850, 808, 930, 197 is 12582862800.
2. How to calculate the LCM of 816, 850, 808, 930, 197?
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 816, 850, 808, 930, 197.
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}.