LCM of 538, 259, 397, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 259, 397, 990 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, 259, 397, 990. So, keep reading to learn more.
Given numbers are 538,259,397,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,259,397,990 is 27382793130.
Find LCM of 538,259,397,990 with Prime Factorization
| 2 | 538, 259, 397, 990 |
| 269, 259, 397, 495 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 259 x 397 x 495 = 27382793130
Therefore, the lowest common multiple of 538,259,397,990 is 27382793130.
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 259 x 397 x 990 = 54765586260
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
259 : 1, 7, 37, 259
397 : 1, 397
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,259,397,990, is 1.
Now, the common factors can be found like this.
538:2x 269
259:7x 37
397:397
990:2x 3x 3x 5x 11
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 = 54765586260/(1x2)
LCM = 54765586260/2
LCM = 27382793130
Thus, we can understand that the LCM of 538,259,397,990 is 27382793130.
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FAQs on LCM of 538, 259, 397, 990
1. What is the LCM of 538, 259, 397, 990?
Answer: LCM of 538, 259, 397, 990 is 27382793130.
2. How to calculate the LCM of 538, 259, 397, 990?
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, 259, 397, 990.
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}.