Find the LCM of 487, 576, 974, 529, 813 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 487, 576, 974, 529, 813. So, keep reading to learn more.
Given numbers are 487,576,974,529,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,576,974,529,813 is 40213919808.
Find LCM of 487,576,974,529,813 with Prime Factorization
2 | 487, 576, 974, 529, 813 |
3 | 487, 288, 487, 529, 813 |
487 | 487, 96, 487, 529, 271 |
1, 96, 1, 529, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 487 x 1 x 96 x 1 x 529 x 271 = 40213919808
Therefore, the lowest common multiple of 487,576,974,529,813 is 40213919808.
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.
487 x 576 x 974 x 529 x 813 = 117505073678976
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.
487 : 1, 487
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
974 : 1, 2, 487, 974
529 : 1, 23, 529
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,576,974,529,813, is 1.
Now, the common factors can be found like this.
487:487
576:2x 2x 2x 2x 2x 2x 3x 3
974:2x 487
529:23x 23
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 487 = 2922
Therefore, the value for common factors is 2922.
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 = 117505073678976/(1x2922)
LCM = 117505073678976/2922
LCM = 40213919808
Thus, we can understand that the LCM of 487,576,974,529,813 is 40213919808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 576, 974, 529, 813?
Answer: LCM of 487, 576, 974, 529, 813 is 40213919808.
2. How to calculate the LCM of 487, 576, 974, 529, 813?
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 487, 576, 974, 529, 813.
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}.