- A1
- B2
- C3
- D13
Step-by-Step Solution
A multiple of both 4 and 6 is a multiple of their LCM, 12. In the grid these are 36, 48 and 60, so there are 3. (1 counts only multiples of ; 13 adds the 8 multiples of 4 and the 5 multiples of 6.)
Answer: C) 3
Look at the number grid from 31 to 60. How many of these numbers are multiples of BOTH 4 and 6?
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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