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The LCM of the fractions 3/4, 6/7 and 9/8 is:

Competition practiceNumber & Arithmetic
  • A9/28
  • B18/7
  • C36
  • D18

Step-by-Step Solution

For fractions, LCM = LCM of the numerators ÷ HCF of the denominators. LCM(3, 6, 9) = 18 and HCF(4, 7, 8) = 1, so the LCM is 18/1 = 18. Sanity check: 18 ÷ (3/4) = 24, 18 ÷ (6/7) = 21 and 18 ÷ (9/8) = 16 — all whole numbers.
Answer: D) 18

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