Gani — AI Math Tutor | Karka LMS

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LCM & HCF

· Examples

✏️ Worked Examples — Step by Step

Easy

HCF of 18 and 24:

💡 Largest number dividing both.

👁 Show Solution

18 = 2·3²; 24 = 2³·3. Min powers: 2¹·3¹ = 6.

✅ Answer: 6

✅6

Medium

LCM of 12, 15, 20:

💡 Take max prime powers.

👁 Show Solution

12 = 2²·3; 15 = 3·5; 20 = 2²·5. LCM = 2²·3·5 = 60.

✅ Answer: 60

✅60

Challenging

Three bells ring every 9, 12, 15 minutes. They ring together at 6 AM. Next together?

💡 LCM gives the gap.

👁 Show Solution

LCM(9,12,15) = 180 min = 3 hours.
Wait — 180 min = 3 hours. Next at 9 AM, 12 PM, …
First time after 6 AM: 9 AM.

✅ Answer: 9 AM (3 hours later)

✅6 hours later (12 PM)

Examples