All primes that are common divisors, i.e. the least powers in prime factorizations, are reduced .
If we consider the free areas the dimensions are 90 m. by 39 m.
To find the dimensions of the perforated plates is first due.
First find the GCD of these 3 numbers to find a proper bottle volume.
A = 5 + 36/B should be valid. So possible B values are those dividing 36 without residue .
Divisors : 1 , 2, 3, 5, 6, 10, 15 and 30 .
The case of non repeating prime factors we have seen in the previous question. This question is to understand what otherwise happens.
We know that if N=1, the number 30 has 8 factors/divisors. This means N should be a pretty small number.
The set of multiples of 24 = {24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, ...}
The set of multiples of 64 = {64, 128, 192, 256, 320, 384, ...} .
2x2x2 is already included in 2x2x2x2x2x2x2x2. So it is enough to use 2x2x2x2x2x2x2x2=64 and 3 which is not a common factor.
The greatest power of common prime factors and all of non-commons are to be multiplied .
The greatest power of common prime factors and all of non-commons are to be multiplied .
The non-common factors are also needed .
It takes less time to use only one vertical line.
Since LCM is 30,the square must have dimensions of 30 cm. by 30 cm.
Finf LCM of 2,3 and 5 and add 1 .
A cube is a special rectangular prism having max volume for a given total side length. This prism shold be a cube which means we have to find the LCM of
8,9 and 10.Then ...
3,5,7, and 11 are primes and their LCM is the product of all 4 .
15 687 / 180 = 87.15 ve 87 x 180 = 15 660
LCM of 60 and 96 is 60 , 96 | 2^{5} , 3 , 5
LCM of 84 and 96 is 84 , 96 | 2^{5} , 3 and 7 .
1 96 l. barrel is to be used. For the others LCMs of 60 and 96 and LCM of 84 and 96 are needed. Then ... .
FinfdLCM of 36 and 84 .
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