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Q.

The HCF of two numbers is 16 and their product is 3072. Find their LCM.

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a

190

b

194

c

196

d

192 

answer is D.

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Detailed Solution

It is given that the HCF of two numbers is 16 and their product is 3072.
As the product of the HCF and LCM of two numbers is equal to the product of the two numbers.
⇒LCM×HCF=Product of numbers ⇒LCM×16=3072 ⇒LCM=307216 ⇒LCM=192 Therefore, the LCM of the two numbers is 192.
Hence, option 4 is correct.
 
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