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

Mathematics
NECO 2004

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

  • A. 10a
  • B. 12a
  • C. 5abc
  • D. 12a2bc
  • E. 60a2bc
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Correct Answer: Option 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

→ LCM ÷ HCF = 60a\(^2\)bc ÷ 5abc

= 12a


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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