LCM of 676, 288, 996, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 288, 996, 312 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 676, 288, 996, 312. So, keep reading to learn more.
Given numbers are 676,288,996,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,288,996,312 is 4039776.
Find LCM of 676,288,996,312 with Prime Factorization
| 2 | 676, 288, 996, 312 |
| 2 | 338, 144, 498, 156 |
| 2 | 169, 72, 249, 78 |
| 3 | 169, 36, 249, 39 |
| 13 | 169, 12, 83, 13 |
| 1, 12, 83, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 12 x 83 x 13 = 4039776
Therefore, the lowest common multiple of 676,288,996,312 is 4039776.
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.
676 x 288 x 996 x 312 = 60499685376
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,288,996,312, is 4.
Now, the common factors can be found like this.
676:2x 2x 13x 13
288:2x 2x 2x 2x 2x 3x 3
996:2x 2x 3x 83
312:2x 2x 2x 3x 13
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 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 60499685376/(4x3744)
LCM = 60499685376/14976
LCM = 4039776
Thus, we can understand that the LCM of 676,288,996,312 is 4039776.
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FAQs on LCM of 676, 288, 996, 312
1. What is the LCM of 676, 288, 996, 312?
Answer: LCM of 676, 288, 996, 312 is 4039776.
2. How to calculate the LCM of 676, 288, 996, 312?
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 676, 288, 996, 312.
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}.