- A33
- B60
- C27
- D30
Step-by-Step Solution
2, 3 and 5 are all prime, so the LCM is . 30 is the smallest number divisible by all three.
Answer: D) 30
What is the smallest number that is a common multiple of 2, 3 and 5?
Class 6Playing with NumbersPlaying with Numbers
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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