LCM of 720, 768, 571, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 768, 571, 496 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 720, 768, 571, 496. So, keep reading to learn more.
Given numbers are 720,768,571,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,768,571,496 is 203915520.
Find LCM of 720,768,571,496 with Prime Factorization
| 2 | 720, 768, 571, 496 |
| 2 | 360, 384, 571, 248 |
| 2 | 180, 192, 571, 124 |
| 2 | 90, 96, 571, 62 |
| 3 | 45, 48, 571, 31 |
| 15, 16, 571, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 15 x 16 x 571 x 31 = 203915520
Therefore, the lowest common multiple of 720,768,571,496 is 203915520.
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.
720 x 768 x 571 x 496 = 156607119360
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
571 : 1, 571
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,768,571,496, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
571:571
496:2x 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 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 156607119360/(1x768)
LCM = 156607119360/768
LCM = 203915520
Thus, we can understand that the LCM of 720,768,571,496 is 203915520.
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FAQs on LCM of 720, 768, 571, 496
1. What is the LCM of 720, 768, 571, 496?
Answer: LCM of 720, 768, 571, 496 is 203915520.
2. How to calculate the LCM of 720, 768, 571, 496?
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 720, 768, 571, 496.
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}.