LCM of 993, 704, 308, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 704, 308, 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 993, 704, 308, 966. So, keep reading to learn more.
Given numbers are 993,704,308,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,704,308,966 is 112550592.
Find LCM of 993,704,308,966 with Prime Factorization
| 2 | 993, 704, 308, 966 |
| 2 | 993, 352, 154, 483 |
| 3 | 993, 176, 77, 483 |
| 7 | 331, 176, 77, 161 |
| 11 | 331, 176, 11, 23 |
| 331, 16, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 331 x 16 x 1 x 23 = 112550592
Therefore, the lowest common multiple of 993,704,308,966 is 112550592.
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.
993 x 704 x 308 x 966 = 207993494016
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.
993 : 1, 3, 331, 993
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 993,704,308,966, is 1.
Now, the common factors can be found like this.
993:3x 331
704:2x 2x 2x 2x 2x 2x 11
308:2x 2x 7x 11
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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 207993494016/(1x1848)
LCM = 207993494016/1848
LCM = 112550592
Thus, we can understand that the LCM of 993,704,308,966 is 112550592.
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FAQs on LCM of 993, 704, 308, 966
1. What is the LCM of 993, 704, 308, 966?
Answer: LCM of 993, 704, 308, 966 is 112550592.
2. How to calculate the LCM of 993, 704, 308, 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 993, 704, 308, 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}.