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Question

Find the LCM and HCF of 336 and 54 


  1. LCM = 6
  2. HCF = 3024
  3. LCM = 3024
  4. HCF = 6


Solution

The correct options are
C LCM = 3024
D HCF = 6

336 and 54
336=2×2×2×2×3×7=24 
54=2×3×3×3=2×33
HCF=Product of the smallest power of each common prime factor in the numbers =2×3=6
LCM=Product of the greatest power of each prime factor involved in the numbers =24×33×7=3024
HCF×LCM = 6×3024 = 18144
Product of two given numbers =336×54 = 18144
Therefore, it is proved that LCM×HCF = product of two given numbers.

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