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Q.

If the HCF of ‘a’ and ‘b’ is 16 and their product is 3072, then the LCM is ____.


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Detailed Solution

If the HCF of ‘a’ and ‘b’ is 16 and their product is 3072, then the LCM is 192.
We have been given,
HCF of ‘a’ and ‘b’ = 16.
Product of ‘a’ and ‘b’ = 3072.
Product of two numbers is equal to the product of their HCF and LCM.
LCM= a×b HCF    LCM= 3072 16    Therefore, the LCM of the integer is 192.
 
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If the HCF of ‘a’ and ‘b’ is 16 and their product is 3072, then the LCM is ____.