SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Fractions, SM-Bank 037

What is the lowest common multiple of the following sets of numbers?

  1. `2, 5`  (1 mark)

  2. `3, 9`  (1 mark)

  3. `2, 3, 6`  (1 mark)

  4. `4, 6, 8`  (1 mark)
Show Answers Only

a.    `10`

b.    `9`

c.    `6`

d.    `24`

Show Worked Solution

a.    `text(Multiples of 2:)\ 2, 4, 6, 8, 10`

`text(Multiples of 5:)\ 5, 10`

`:.\ text(LCM (2, 5))= 10`  
 

b.    `text(Multiples of 3:)\ 3, 6, 9`

`text(Multiples of 9:)\ 9`

`:.\ text(LCM (3, 9))= 9`  
  

c.   `text(Multiples of 2:)\ 2, 4, 6`

`text(Multiples of 3:)\ 3, 6`

`text(Multiples of 6:)\ 6`

`:.\ text(LCM (2, 3, 6))= 6`  
   

d.    `text(Multiples of 4:)\  4, 8, 12, 16, 20, 24`

`text(Multiples of 6:)\ 6, 12, 18, 24`

`text(Multiples of 8:)\ 8, 16, 24`

`:.\ text(LCM (4, 6, 8))= 24`