LCM of 538, 104, 374, 450, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 104, 374, 450, 648 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, 104, 374, 450, 648. So, keep reading to learn more.
Given numbers are 538,104,374,450,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,104,374,450,648 is 10593811800.
Find LCM of 538,104,374,450,648 with Prime Factorization
| 2 | 538, 104, 374, 450, 648 |
| 2 | 269, 52, 187, 225, 324 |
| 2 | 269, 26, 187, 225, 162 |
| 3 | 269, 13, 187, 225, 81 |
| 3 | 269, 13, 187, 75, 27 |
| 269, 13, 187, 25, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 269 x 13 x 187 x 25 x 9 = 10593811800
Therefore, the lowest common multiple of 538,104,374,450,648 is 10593811800.
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 104 x 374 x 450 x 648 = 6102035596800
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
374 : 1, 2, 11, 17, 22, 34, 187, 374
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,104,374,450,648, is 2.
Now, the common factors can be found like this.
538:2x 269
104:2x 2x 2x 13
374:2x 11x 17
450:2x 3x 3x 5x 5
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 6102035596800/(2x288)
LCM = 6102035596800/576
LCM = 10593811800
Thus, we can understand that the LCM of 538,104,374,450,648 is 10593811800.
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FAQs on LCM of 538, 104, 374, 450, 648
1. What is the LCM of 538, 104, 374, 450, 648?
Answer: LCM of 538, 104, 374, 450, 648 is 10593811800.
2. How to calculate the LCM of 538, 104, 374, 450, 648?
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, 104, 374, 450, 648.
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}.