LCM of 771, 480, 192, 494, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 480, 192, 494, 807 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 771, 480, 192, 494, 807. So, keep reading to learn more.
Given numbers are 771,480,192,494,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,480,192,494,807 is 16392816960.
Find LCM of 771,480,192,494,807 with Prime Factorization
| 2 | 771, 480, 192, 494, 807 |
| 2 | 771, 240, 96, 247, 807 |
| 2 | 771, 120, 48, 247, 807 |
| 2 | 771, 60, 24, 247, 807 |
| 2 | 771, 30, 12, 247, 807 |
| 3 | 771, 15, 6, 247, 807 |
| 257, 5, 2, 247, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 257 x 5 x 2 x 247 x 269 = 16392816960
Therefore, the lowest common multiple of 771,480,192,494,807 is 16392816960.
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.
771 x 480 x 192 x 494 x 807 = 28326787706880
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.
771 : 1, 3, 257, 771
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
494 : 1, 2, 13, 19, 26, 38, 247, 494
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,480,192,494,807, is 1.
Now, the common factors can be found like this.
771:3x 257
480:2x 2x 2x 2x 2x 3x 5
192:2x 2x 2x 2x 2x 2x 3
494:2x 13x 19
807:3x 269
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 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 28326787706880/(1x1728)
LCM = 28326787706880/1728
LCM = 16392816960
Thus, we can understand that the LCM of 771,480,192,494,807 is 16392816960.
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FAQs on LCM of 771, 480, 192, 494, 807
1. What is the LCM of 771, 480, 192, 494, 807?
Answer: LCM of 771, 480, 192, 494, 807 is 16392816960.
2. How to calculate the LCM of 771, 480, 192, 494, 807?
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 771, 480, 192, 494, 807.
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}.