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Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

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Mathematics NECO 2004

Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

  • 10a
  • 12a checkmark
  • 5abc
  • 12a2bc
  • 60a2bc

The correct answer is: B

Explanation

LCM of 15abc and 20a\(^2\)bc = 60a\(^2\)bc

Factors of 15abc = 1, 3, 5,15, a, b, c     

and of  20a\(^2\)bc = 1, 2, 4, 5, 10, 20, a, b, c

HCF of 15abc and 20a\(^2\)bc = 5abc

โ†’ LCM รท HCF = 60a\(^2\)bc รท 5abc

= 12a

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