LCM of 808, 689, 112, 912, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 689, 112, 912, 966 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 808, 689, 112, 912, 966. So, keep reading to learn more.
Given numbers are 808,689,112,912,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,689,112,912,966 is 10217892048.
Find LCM of 808,689,112,912,966 with Prime Factorization
| 2 | 808, 689, 112, 912, 966 |
| 2 | 404, 689, 56, 456, 483 |
| 2 | 202, 689, 28, 228, 483 |
| 2 | 101, 689, 14, 114, 483 |
| 3 | 101, 689, 7, 57, 483 |
| 7 | 101, 689, 7, 19, 161 |
| 101, 689, 1, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 101 x 689 x 1 x 19 x 23 = 10217892048
Therefore, the lowest common multiple of 808,689,112,912,966 is 10217892048.
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.
808 x 689 x 112 x 912 x 966 = 54931387650048
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
689 : 1, 13, 53, 689
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,689,112,912,966, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
689:13x 53
112:2x 2x 2x 2x 7
912:2x 2x 2x 2x 3x 19
966:2x 3x 7x 23
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 2x 2x 2x 3x 7 = 5376
Therefore, the value for common factors is 5376.
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 = 54931387650048/(1x5376)
LCM = 54931387650048/5376
LCM = 10217892048
Thus, we can understand that the LCM of 808,689,112,912,966 is 10217892048.
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FAQs on LCM of 808, 689, 112, 912, 966
1. What is the LCM of 808, 689, 112, 912, 966?
Answer: LCM of 808, 689, 112, 912, 966 is 10217892048.
2. How to calculate the LCM of 808, 689, 112, 912, 966?
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 808, 689, 112, 912, 966.
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}.