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CDS 2026 · PYQ · HCF and LCM · medium

What is the LCM of 3.6, 0.009, 0.27?

  1. A.5.4
  2. B.10.8✓ Correct
  3. C.16.2
  4. D.21.6

Explanation

Convert to fractions with same number of decimal places: 3.6 = 3600/1000, 0.009 = 9/1000, 0.27 = 270/1000. LCM = LCM(3600, 9, 270)/1000. LCM(3600, 9) = 3600 (since 9 divides 3600). LCM(3600, 270): 3600 = 2⁴·3²·5², 270 = 2·3³·5; LCM = 2⁴·3³·5² = 16·27·25 = 10800. So LCM = 10800/1000 = 10.8.
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