Multiples
                  Multiples
   What is a multiple?
     What is a multiple?
 A number that may be divided by another number with no 
 remainder: 4, 6, and 12 are multiples of 2. 
 i.e. Multiples of 3 are all those numbers which appear in the 3 
 times table
   What are common multiples?
    What are common multiples?
 A common multiple of two or more numbers contains each 
 of them a number of times exactly, so, 24 is a common 
 multiple of 3 and 4. 
 i.e. A number which appears in the times tables of all the 
 numbers you are considering
       Lowest Common Multiples
       Lowest Common Multiples
   What do we mean by ‘lowest 
     What do we mean by ‘lowest 
    common multiple’?
     common multiple’?
    The smallest multiple that is exactly divisible by every 
    member of a set of numbers.
    i.e. the lowest common multiple of 12 and 18 is 36 
   
     How can we find lowest common 
     How can we find lowest common 
   multiples?
   multiples?
   Write out the first few multiples of all the numbers in the data 
   set
   Look for the lowest number that appears in all the lists
     Finding Lowest common multiples
     Finding Lowest common multiples
    Example:
      Example:
    Find the lowest common multiple of 3 
      and 7.
            .
     First few multiples of 3:
    3  6  9  12   15 18 21
    First few multiples of 7:
    7  14   21
     The lowest common multiple of 3 and 7 is:
                    21
                    21
          LOWEST COMMON MULTIPLES
           LOWEST COMMON MULTIPLES
          Find the lowest common multiples for the 
          following sets of numbers:
   5 and 7   6 and 10 4, 6, and 12
   LCM = 35  LCM = 30 LCM = 24
                  Factors
                  Factors
   What is a factor?
     What is a factor?
     Factors of a number are those numbers that 
     divide into it exactly with no remainder.
     I.e. the factors of 12 are 1, 12, 2, 6, 3 and 4.
    *What are common factors?
     What are common factors?
    Common factors are those factors which 
    divide exactly into all the numbers in the set.