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Ramesh writes the multiples of 12 in one column and the multiples of 18 in another. Which number appears FIRST in both columns?

Class 6Playing with NumbersPlaying with Numbers
  • A6
  • B72
  • C216
  • D36

Step-by-Step Solution

Multiples of 12: 12, 24, 36, 48, … . Multiples of 18: 18, 36, 54, … . The first entry shared by the two columns is 36, so LCM(12, 18) = 36. The traps: 6 is the HCF, 72 is the second common multiple rather than the first, and 216 is just .
Answer: D) 36

Key idea: HCF and LCM — the two ends of common ground

**HCF** (Highest Common Factor) is the biggest number that divides both numbers — it sits at the *small* end of common factors. **LCM** (Least Common Multiple) is the smallest number both numbers divide — it sits at the *small* end of common multiples (which is the *big* side of factors). For Class 6, the simplest method is listing: write all the factors (or first several multiples) of each number and pick the right one. Faster methods come in Class 7.

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