LCM of 996, 913, 308, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 913, 308, 288 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 996, 913, 308, 288. So, keep reading to learn more.
Given numbers are 996,913,308,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,913,308,288 is 1840608.
Find LCM of 996,913,308,288 with Prime Factorization
| 2 | 996, 913, 308, 288 |
| 2 | 498, 913, 154, 144 |
| 3 | 249, 913, 77, 72 |
| 11 | 83, 913, 77, 24 |
| 83 | 83, 83, 7, 24 |
| 1, 1, 7, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 83 x 1 x 1 x 7 x 24 = 1840608
Therefore, the lowest common multiple of 996,913,308,288 is 1840608.
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.
996 x 913 x 308 x 288 = 80662804992
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
913 : 1, 11, 83, 913
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,913,308,288, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
913:11x 83
308:2x 2x 7x 11
288:2x 2x 2x 2x 2x 3x 3
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 3x 11x 83 = 43824
Therefore, the value for common factors is 43824.
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 = 80662804992/(1x43824)
LCM = 80662804992/43824
LCM = 1840608
Thus, we can understand that the LCM of 996,913,308,288 is 1840608.
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FAQs on LCM of 996, 913, 308, 288
1. What is the LCM of 996, 913, 308, 288?
Answer: LCM of 996, 913, 308, 288 is 1840608.
2. How to calculate the LCM of 996, 913, 308, 288?
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 996, 913, 308, 288.
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}.