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Question

Take the smallest odd composite number and largest three digit prime number. What is the difference between the LCM and the HCF of these two numbers?


A
8336
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B
8972
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C
8874
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D
8566
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Solution

The correct option is C $$8972$$
Solution;
Smallest odd composite number$$=9$$
Largest  3- digit prime number $$=997$$
Since $$9$$ and $$997$$ are coprime, so
LCM of $$9$$ and $$997=9\times997=8973$$
HCF of $$9$$ and $$997=1$$
So, difference between LCM and HCF $$=8973-1=8972$$
Hence, B is the correct option.

Maths

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