🔢 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! 🌟
