LCM of 188, 269, 448, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 269, 448, 538 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 188, 269, 448, 538. So, keep reading to learn more.
Given numbers are 188,269,448,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,269,448,538 is 5664064.
Find LCM of 188,269,448,538 with Prime Factorization
| 2 | 188, 269, 448, 538 |
| 2 | 94, 269, 224, 269 |
| 269 | 47, 269, 112, 269 |
| 47, 1, 112, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 269 x 47 x 1 x 112 x 1 = 5664064
Therefore, the lowest common multiple of 188,269,448,538 is 5664064.
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.
188 x 269 x 448 x 538 = 12189065728
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.
188 : 1, 2, 4, 47, 94, 188
269 : 1, 269
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,269,448,538, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
269:269
448:2x 2x 2x 2x 2x 2x 7
538:2x 269
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 = 12189065728/(1x2152)
LCM = 12189065728/2152
LCM = 5664064
Thus, we can understand that the LCM of 188,269,448,538 is 5664064.
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FAQs on LCM of 188, 269, 448, 538
1. What is the LCM of 188, 269, 448, 538?
Answer: LCM of 188, 269, 448, 538 is 5664064.
2. How to calculate the LCM of 188, 269, 448, 538?
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 188, 269, 448, 538.
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}.