Find the LCM of 487, 989, 529, 897 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, 989, 529, 897. So, keep reading to learn more.
Given numbers are 487,989,529,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,989,529,897 is 432033771.
Find LCM of 487,989,529,897 with Prime Factorization
23 | 487, 989, 529, 897 |
487, 43, 23, 39 |
Multiply the prime numbers at the bottom and the left side.
23 x 487 x 43 x 23 x 39 = 432033771
Therefore, the lowest common multiple of 487,989,529,897 is 432033771.
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 989 x 529 x 897 = 228545864859
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
989 : 1, 23, 43, 989
529 : 1, 23, 529
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,989,529,897, is 1.
Now, the common factors can be found like this.
487:487
989:23x 43
529:23x 23
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 228545864859/(1x529)
LCM = 228545864859/529
LCM = 432033771
Thus, we can understand that the LCM of 487,989,529,897 is 432033771.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 989, 529, 897?
Answer: LCM of 487, 989, 529, 897 is 432033771.
2. How to calculate the LCM of 487, 989, 529, 897?
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, 989, 529, 897.
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}.