LCM of 269, 328, 538, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 328, 538, 828 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 269, 328, 538, 828. So, keep reading to learn more.
Given numbers are 269,328,538,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,328,538,828 is 18264024.
Find LCM of 269,328,538,828 with Prime Factorization
| 2 | 269, 328, 538, 828 |
| 2 | 269, 164, 269, 414 |
| 269 | 269, 82, 269, 207 |
| 1, 82, 1, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 269 x 1 x 82 x 1 x 207 = 18264024
Therefore, the lowest common multiple of 269,328,538,828 is 18264024.
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.
269 x 328 x 538 x 828 = 39304179648
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.
269 : 1, 269
328 : 1, 2, 4, 8, 41, 82, 164, 328
538 : 1, 2, 269, 538
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,328,538,828, is 1.
Now, the common factors can be found like this.
269:269
328:2x 2x 2x 41
538:2x 269
828:2x 2x 3x 3x 23
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 269 = 2152
Therefore, the value for common factors is 2152.
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 = 39304179648/(1x2152)
LCM = 39304179648/2152
LCM = 18264024
Thus, we can understand that the LCM of 269,328,538,828 is 18264024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 328, 538, 828
1. What is the LCM of 269, 328, 538, 828?
Answer: LCM of 269, 328, 538, 828 is 18264024.
2. How to calculate the LCM of 269, 328, 538, 828?
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 269, 328, 538, 828.
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}.