LCM of 188, 664, 896, 323, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 664, 896, 323, 352 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, 664, 896, 323, 352. So, keep reading to learn more.
Given numbers are 188,664,896,323,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,664,896,323,352 is 12418786688.
Find LCM of 188,664,896,323,352 with Prime Factorization
| 2 | 188, 664, 896, 323, 352 |
| 2 | 94, 332, 448, 323, 176 |
| 2 | 47, 166, 224, 323, 88 |
| 2 | 47, 83, 112, 323, 44 |
| 2 | 47, 83, 56, 323, 22 |
| 47, 83, 28, 323, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 47 x 83 x 28 x 323 x 11 = 12418786688
Therefore, the lowest common multiple of 188,664,896,323,352 is 12418786688.
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 664 x 896 x 323 x 352 = 12716837568512
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
664 : 1, 2, 4, 8, 83, 166, 332, 664
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
323 : 1, 17, 19, 323
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,664,896,323,352, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
664:2x 2x 2x 83
896:2x 2x 2x 2x 2x 2x 2x 7
323:17x 19
352:2x 2x 2x 2x 2x 11
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 2x 2x 2x 2x 2 = 1024
Therefore, the value for common factors is 1024.
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 = 12716837568512/(1x1024)
LCM = 12716837568512/1024
LCM = 12418786688
Thus, we can understand that the LCM of 188,664,896,323,352 is 12418786688.
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FAQs on LCM of 188, 664, 896, 323, 352
1. What is the LCM of 188, 664, 896, 323, 352?
Answer: LCM of 188, 664, 896, 323, 352 is 12418786688.
2. How to calculate the LCM of 188, 664, 896, 323, 352?
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, 664, 896, 323, 352.
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}.