Real Numbers: Finding the LCM

The video tutorial explains the concept of least common multiple (LCM) using examples of bells ringing at different intervals. It introduces the factorization method for finding LCM, especially for larger numbers, and explains the highest common factor (HCF) or greatest common divisor (GCD). The tutorial also covers the relationship between the product of two numbers and their LCM and HCF, using practical examples to reinforce understanding.

What is the least common multiple of 4 and 6?

• 12

• 10

• 8

• 14

Which method is more suitable for finding the LCM of larger numbers?

• Listing multiples

• Factorization

• Trial and error

• Graphical method

What is the greatest common divisor of 4 and 8?

• 4

• 2

• 8

• 1

How do you find the HCF using the factorization method?

• By adding all factors

• By taking the product of common factors with the least power

• By taking the product of uncommon factors

• By multiplying all factors

What is the relationship between the product of two numbers and their LCM and HCF?

• Product of numbers is greater than LCM and HCF

• Product of numbers is unrelated to LCM and HCF

• Product of numbers is less than LCM and HCF

• Product of numbers equals the product of LCM and HCF

If the HCF of two numbers is 3 and one of the numbers is 9, what could be the other number?

• 18

• 15

• 12

• 6

Why is the LCM always greater than the HCF?

• Because LCM is calculated first

• Because HCF is always 1

• Because LCM is always a prime number

• Because LCM is a multiple and HCF is a factor