Mastering LCM and HCF

Mastering LCM and HCF

Learning Objective

At the end of the lesson, you will be able to understand and calculate the LCM (Least Common Multiple) and HCF (Highest Common Factor) of given numbers.

What do you already know about LCM and HCF?

Slide 1: LCM

LCM is the smallest multiple that is evenly divisible by two or more numbers.

Slide 2: HCF

HCF is the largest factor that divides two or more numbers without leaving a remainder.

Slide 3: Finding LCM

To find the LCM of two or more numbers, we can use prime factorization or the method of listing multiples.

Slide 4: Prime Factorization

Prime factorization involves breaking down a number into its prime factors and then multiplying them together to find the LCM.

Slide 5: Listing Multiples

Listing multiples involves listing the multiples of each number and finding the smallest common multiple.

Slide 6: Finding HCF

To find the HCF of two or more numbers, we can use prime factorization or the method of division.

Slide 7: Prime Factorization for HCF

Prime factorization involves finding the common prime factors of the given numbers and multiplying them together to find the HCF.

Slide 8: Division Method for HCF

The division method involves repeatedly dividing the given numbers until the remainder becomes zero, and the divisor at that stage is the HCF.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.