LCM of 538, 414, 138, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 414, 138, 576 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, 414, 138, 576. So, keep reading to learn more.
Given numbers are 538,414,138,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,414,138,576 is 3563712.
Find LCM of 538,414,138,576 with Prime Factorization
| 2 | 538, 414, 138, 576 |
| 3 | 269, 207, 69, 288 |
| 3 | 269, 23, 69, 96 |
| 23 | 269, 23, 23, 32 |
| 269, 1, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 269 x 1 x 1 x 32 = 3563712
Therefore, the lowest common multiple of 538,414,138,576 is 3563712.
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 414 x 138 x 576 = 17704521216
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
138 : 1, 2, 3, 6, 23, 46, 69, 138
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,414,138,576, is 2.
Now, the common factors can be found like this.
538:2x 269
414:2x 3x 3x 23
138:2x 3x 23
576:2x 2x 2x 2x 2x 2x 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 3x 3x 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 17704521216/(2x2484)
LCM = 17704521216/4968
LCM = 3563712
Thus, we can understand that the LCM of 538,414,138,576 is 3563712.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 414, 138, 576
1. What is the LCM of 538, 414, 138, 576?
Answer: LCM of 538, 414, 138, 576 is 3563712.
2. How to calculate the LCM of 538, 414, 138, 576?
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, 414, 138, 576.
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}.