Question

Find the minimum capacity of a water tank that can completely hold water of
volume 4560 , 2345 and 5025 ​

Answer 1

SOLUTION

TO DETERMINE

The minimum capacity of a water tank that can completely hold water of volume 4560 , 2345 and 5025

EVALUATION

Here we have to find the minimum capacity of a water tank that can completely hold water of volume 4560 , 2345 and 5025

The required volume is the LCM of 4560 , 2345 and 5025

Now

4560 = 2 × 2 × 2 × 2 × 3 × 5 × 19

2345 = 5 × 7 × 67

5025 = 3 × 5 × 5 × 67

∴ LCM

= 2 × 2 × 2 × 2 × 3 × 5 × 7 × 5 × 19 × 67

= 10,693,200

Hence the required volume = 10,693,200

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