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The LCM of two numbers is 2079 and their HCF is 27. If one number is 189, what is the other?

Competition practiceNumber System, HCF & LCM

A297
B231
C243
D351

Step-by-Step Solution

Other number =

2079 \times 27 \div 189 = 297

. (Check:

189 = 27 \times 7

and

297 = 27 \times 11

, with 7 and 11 co-prime, so LCM =

27 \times 77 = 2079.

)

Answer: A) 297

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