Working model of maths | for 6,7,8,9,and 10|B.Ed students | Explanation video| Concept of lcm & hcf.

Explanation of working model of HCF & LCM.

WE SUGGEST THE BEST WAY TO EXPLAIN THE TOPICS OF MATHS

Introduction:- If you are confused to learn or want to explain HCF and LCM concepts to your students then this working model helps you a lot. Firstly you simply make this working model by watching this video.

Firstly we have to understand the factors and Multiples.

Multiple - A multiple is a number that can be divided by another number a certain number of times without a remainder.

A factor is one of two or more numbers that divides a given number without a remainder.

After explaining these terms. Now give some examples.

Another way of explanation.

What is the difference between LCM and HCF?

LCM stands for Lowest Common Multiple, and HCF stands for Highest Common Factor.

The key to telling the difference between these two things is knowing the difference between a multiple and a factor.

A multiple of an integer (whole number) is an integer that appears in its time's table. For example, the multiples of 3 are 3, 6, 9, 12, and so on.

A factor of an integer is an integer that divides the integer with no remainder. For example, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

We use LCM and HCF to compare two (or more) integers.

The LCM of two integers is the smallest whole number that appears in both of their times' tables, that is, the smallest integer that is a multiple of both numbers.

For example, the LCM of 4 and 5 is 20. To see this, look at the multiples (times table) of 4:

4, 8, 12, 16, 20, 24, 28, ...

and of 5:

5, 10, 15, 20, 25, ...

The LCM is 20 because this is the first number that appears in both lists.

The HCF of two integers is the largest whole number that divides both numbers without leaving a remainder.

For example, the HCF of 16 and 24 is 8. Again, we can look at both sets of factors and compare. The factors of 16 are:

1, 2, 4, 8, 16

and the factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24.

Although 2 and 4 are common factors (that is, they appear in both lists), we are looking for the highest common factor. The answer is 8.

Now we explain it with this working model.

So watch this video till the end.

Now a big question arises in your mind?

What are the applications of HCF and LCM in daily life?

In daily life suppose you are in a traffic controller job. You have to set the timings of traffic lights in such a way that all are not green at the same time or especially not in the rush hour. It may create a problem in an hour because the lights are for few minutes only. Take the timings of nearby places in the same area and calculate lcm of your times of all traffic stops. Then you can easily manage the traffic by increasing the duration or set at different (-/+ few minutes) times.
Now, The use of HCF-
1. Suppose you are a teacher in a school and you have to arrange students in minimum rows. 21 students from the sixth class,42 students from the seventh, and 56 students from the eighth class in such a way that students in a row belong to the same class. You just take HCF of numbers and that is 7. So, 3 rows,6 rows, and 8 rows of students can be arranged. Total 17rows.Now you have an idea of space for this arrangement and it will look pretty well.
2. You work in a pipe factory and you have so many extra bundles of pipes of different lengths. You have to cut the minimum no of pipes with low wastages and put them together. What will you do?
You took the HCF of all lengths and cut the pipes of the HCF value length. For example- you have extra pipes with 24m,48m,72m,36m lengths. Take HCF and we get 12. SO,12m length is the maximum length, we can cut with minimum wastages. And let there are only four bars or pipes the number of 12m long pipe is (2+4+6+3)=(15)pipes we have.
We can apply this in textile works for saving our clothes.

If you have any doubt please comment in the comment box.

Watch free videos on our YouTube Channel.