LCM (-POST 13)

LOWEST COMMON MULTIPLE OR LCM

We start today’s class with a video. It is important that you watch the video very carefully and understand what is being taught. You may choose to play the video again to get a better understanding.


In this video you have seen how one can determine the LOWEST COMMON MULTIPLE. I hope you have understood what is LCM.

However, writing down the common multiples and then choosing the lowest common multiple by this method for two or more numbers is a slightly long method.

Instead we could choose to find out the LCM by the division method. 

For this, it is important that you must know your tables and short division. Remember, I told you this right in the beginning. 

WATCH THIS VIDEO

Math - How to find LCM By Common Division Method - English - YouTube                                                                         
                Thus, the LCM = 2X3X3X5X5
                                        =10X45
                                        =450
                                                                                                                       
                                   
                                                                                                         

Ladder method for lcm and gcd - Mathematics Stack Exchange



LCM= 2x2x3x3x2x2x1x3

             = 12x12x3
          = 144x3
          = 432


                                                                                                                                          
           
What is LCMLCM = 2X5X5X5X11
                                      =10X55X5
                                      = 2750

I hope you are now ready to try to find the LCM of the given numbers. We will start with the smaller numbers first and then use our super brains for the bigger numbers.

DO  Q 10.-a,b,c,d    and11 -a, b, c, d, 0F EXERCISE 3.7 in your notebook

PRACTICE SUMS- do the sums on LCM, given below in your notebook
  1. 12,20
  2. 24,15
  3. 30,45
  4. 10,20,40
  5. 12,27,40
  6. 36,45,60
  7. 16,24,36,54
  8. 28,36,45
  9. 48,72,108
  10. 84,90,120

[These ten sums are just one method to be applied ten times over!!

This will help you to increase speed.

There are no short cuts in life.

The more you practise the better you get.

The word problems for LCM and HCF  will be discussed in class.]


                             

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  1. Goodmorning... Murtaza Ali 6 c

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