LCM of 538, 998, 903, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 998, 903, 529 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 538, 998, 903, 529. So, keep reading to learn more.
Given numbers are 538,998,903,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,998,903,529 is 128240807394.
Find LCM of 538,998,903,529 with Prime Factorization
| 2 | 538, 998, 903, 529 |
| 269, 499, 903, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 499 x 903 x 529 = 128240807394
Therefore, the lowest common multiple of 538,998,903,529 is 128240807394.
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.
538 x 998 x 903 x 529 = 256481614788
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.
538 : 1, 2, 269, 538
998 : 1, 2, 499, 998
903 : 1, 3, 7, 21, 43, 129, 301, 903
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,998,903,529, is 1.
Now, the common factors can be found like this.
538:2x 269
998:2x 499
903:3x 7x 43
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 256481614788/(1x2)
LCM = 256481614788/2
LCM = 128240807394
Thus, we can understand that the LCM of 538,998,903,529 is 128240807394.
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FAQs on LCM of 538, 998, 903, 529
1. What is the LCM of 538, 998, 903, 529?
Answer: LCM of 538, 998, 903, 529 is 128240807394.
2. How to calculate the LCM of 538, 998, 903, 529?
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 538, 998, 903, 529.
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}.