LCM of 387, 591, 660, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 591, 660, 504 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 387, 591, 660, 504. So, keep reading to learn more.
Given numbers are 387,591,660,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,591,660,504 is 234816120.
Find LCM of 387,591,660,504 with Prime Factorization
| 2 | 387, 591, 660, 504 |
| 2 | 387, 591, 330, 252 |
| 3 | 387, 591, 165, 126 |
| 3 | 129, 197, 55, 42 |
| 43, 197, 55, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 43 x 197 x 55 x 14 = 234816120
Therefore, the lowest common multiple of 387,591,660,504 is 234816120.
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.
387 x 591 x 660 x 504 = 76080422880
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.
387 : 1, 3, 9, 43, 129, 387
591 : 1, 3, 197, 591
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,591,660,504, is 3.
Now, the common factors can be found like this.
387:3x 3x 43
591:3x 197
660:2x 2x 3x 5x 11
504:2x 2x 2x 3x 3x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 76080422880/(3x108)
LCM = 76080422880/324
LCM = 234816120
Thus, we can understand that the LCM of 387,591,660,504 is 234816120.
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FAQs on LCM of 387, 591, 660, 504
1. What is the LCM of 387, 591, 660, 504?
Answer: LCM of 387, 591, 660, 504 is 234816120.
2. How to calculate the LCM of 387, 591, 660, 504?
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 387, 591, 660, 504.
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}.