Relation between numbers and their HCF & LCM

🔢 HCF × LCM = Product of Two Numbers

📘 Relation Between HCF, LCM, and Numbers – Class 5

Learn the magic connection between the Highest Common Factor (HCF), Lowest Common Multiple (LCM), and two numbers with fun puzzles below! 🤓✏️

🌟 Key Concept: HCF × LCM = Product of Numbers

• HCF (Highest Common Factor): The largest number that divides both numbers.
• LCM (Lowest Common Multiple): The smallest number divisible by both numbers.
• Golden Formula: HCF × LCM = Number1 × Number2
• Example: If two numbers are 8 and 12:
  HCF = 4, LCM = 24 → 4 × 24 = 8 × 12 = 96 ✅

Puzzle 1

Two numbers are 10 and 15. Their HCF is 5 and LCM is?

Use: HCF × LCM = 10 × 15

LCM = 30

Puzzle 2

HCF = 4, LCM = 60, one number is 12. What is the other number?

Use: 4 × 60 = 12 × ?

Other number = 20

Puzzle 3

Fill in the blank: HCF × LCM = ___________

It’s the product of both numbers

Product of two numbers

Puzzle 4

If two numbers are 16 and 24, and their LCM is 48, what is their HCF?

HCF = (16 × 24) ÷ 48

HCF = 8

Puzzle 5

True or False: LCM × HCF = Sum of two numbers

False

Puzzle 6

One number is 14, HCF = 2, LCM = 84. Find the second number.

2 × 84 = 14 × ?

Other number = 12

Puzzle 7

What is the LCM of 4 and 9?

Find the smallest common multiple

36

Puzzle 8

Fill in the blank: LCM is always __________ than or equal to HCF

Greater

Puzzle 9

LCM of 5 and 15 is?

15

Puzzle 10

Which of these is true?
A) HCF × LCM = HCF + LCM
B) HCF × LCM = Number1 × Number2
C) HCF × LCM = LCM ÷ HCF

B) HCF × LCM = Number1 × Number2

💬 Did you solve all puzzles? Share your answers or doubts in the comments! Let’s learn together! 🌟