LCM of 577, 252, 504, 487
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 252, 504, 487 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 577, 252, 504, 487. So, keep reading to learn more.
Given numbers are 577,252,504,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,252,504,487 is 141623496.
Find LCM of 577,252,504,487 with Prime Factorization
| 2 | 577, 252, 504, 487 |
| 2 | 577, 126, 252, 487 |
| 3 | 577, 63, 126, 487 |
| 3 | 577, 21, 42, 487 |
| 7 | 577, 7, 14, 487 |
| 577, 1, 2, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 577 x 1 x 2 x 487 = 141623496
Therefore, the lowest common multiple of 577,252,504,487 is 141623496.
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.
577 x 252 x 504 x 487 = 35689120992
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.
577 : 1, 577
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,252,504,487, is 1.
Now, the common factors can be found like this.
577:577
252:2x 2x 3x 3x 7
504:2x 2x 2x 3x 3x 7
487:487
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 7 = 252
Therefore, the value for common factors is 252.
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 = 35689120992/(1x252)
LCM = 35689120992/252
LCM = 141623496
Thus, we can understand that the LCM of 577,252,504,487 is 141623496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 577, 252, 504, 487
1. What is the LCM of 577, 252, 504, 487?
Answer: LCM of 577, 252, 504, 487 is 141623496.
2. How to calculate the LCM of 577, 252, 504, 487?
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 577, 252, 504, 487.
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}.