LCM of 319, 330, 768, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 330, 768, 992 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 319, 330, 768, 992. So, keep reading to learn more.
Given numbers are 319,330,768,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,330,768,992 is 37973760.
Find LCM of 319,330,768,992 with Prime Factorization
| 2 | 319, 330, 768, 992 |
| 2 | 319, 165, 384, 496 |
| 2 | 319, 165, 192, 248 |
| 2 | 319, 165, 96, 124 |
| 2 | 319, 165, 48, 62 |
| 3 | 319, 165, 24, 31 |
| 11 | 319, 55, 8, 31 |
| 29, 5, 8, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 29 x 5 x 8 x 31 = 37973760
Therefore, the lowest common multiple of 319,330,768,992 is 37973760.
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.
319 x 330 x 768 x 992 = 80200581120
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.
319 : 1, 11, 29, 319
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,330,768,992, is 1.
Now, the common factors can be found like this.
319:11x 29
330:2x 3x 5x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
992:2x 2x 2x 2x 2x 31
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 11 = 2112
Therefore, the value for common factors is 2112.
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 = 80200581120/(1x2112)
LCM = 80200581120/2112
LCM = 37973760
Thus, we can understand that the LCM of 319,330,768,992 is 37973760.
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FAQs on LCM of 319, 330, 768, 992
1. What is the LCM of 319, 330, 768, 992?
Answer: LCM of 319, 330, 768, 992 is 37973760.
2. How to calculate the LCM of 319, 330, 768, 992?
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 319, 330, 768, 992.
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}.