LCM of 312, 252, 920, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 252, 920, 896 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 312, 252, 920, 896. So, keep reading to learn more.
Given numbers are 312,252,920,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,252,920,896 is 12055680.
Find LCM of 312,252,920,896 with Prime Factorization
| 2 | 312, 252, 920, 896 |
| 2 | 156, 126, 460, 448 |
| 2 | 78, 63, 230, 224 |
| 3 | 39, 63, 115, 112 |
| 7 | 13, 21, 115, 112 |
| 13, 3, 115, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 3 x 115 x 16 = 12055680
Therefore, the lowest common multiple of 312,252,920,896 is 12055680.
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.
312 x 252 x 920 x 896 = 64811335680
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,252,920,896, is 4.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
252:2x 2x 3x 3x 7
920:2x 2x 2x 5x 23
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 64811335680/(4x1344)
LCM = 64811335680/5376
LCM = 12055680
Thus, we can understand that the LCM of 312,252,920,896 is 12055680.
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FAQs on LCM of 312, 252, 920, 896
1. What is the LCM of 312, 252, 920, 896?
Answer: LCM of 312, 252, 920, 896 is 12055680.
2. How to calculate the LCM of 312, 252, 920, 896?
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 312, 252, 920, 896.
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}.