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The LCM and HCF of two numbers are 432 and 72 respectively. If one of the numbers is 216, what is the other?

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Here, LCM = 432, HCF = 72, First number = 216 

First number x Second number = LCM x HCF 

∴ 216 x Second number = 432 x 72 

∴ Second number = (432 x 72)/216 

= 432 x 72/216 

= 432 x 1/3 

= 144

∴ The other number is 144.

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