HCF and LCM word problems — Quantitative aptitude for kids
Bells that ring together again, runners who meet at the start, the biggest can that empties two tanks, the largest tile for a floor — every one of these is an HCF or LCM question in disguise. Decide which one, then use prime factors.
Worked example: Three temple bells ring every 6, 8 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together? → 24
6 = 2 × 3, 8 = 2³, 12 = 2² × 3.
LCM = 2³ × 3 = 24.
Check: 24 ÷ 6 = 4, 24 ÷ 8 = 3, 24 ÷ 12 = 2 — and no smaller number works for all three ✓
Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.
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