Friday, 24 August 2012

GSTK(GANDAAN SEPUNYA TER-KECIL)/ LCM/LCF(LOWEST COMMON MULTIPLE) (LOWOST COMMON FACTOR


LOWEST COMMON MULTIPLE(LCM)/GANDAAN SEPUNYA TER-KECIL(GSTK)


EXAMPLE:
Cari LCM bagi nombor 12 dan 16. 
Penyelesaian: 
1.  Gunakan kaedah pembahagian berulang. 
2.  Pembahagian diteruskan sehingga mendapat 1.
3.  LCM diperolehi dengan mendarab semua pembahagi yang digunakan.


Jawapan

Lowest Common Multiple:(ENGLISH)

The smallest common multiple of two or more numbers is called the lowest common multiple (LCM).E.g. Multiples of 8 are 8, 16, 24, 32, …
       Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, …
The LCM of 3 and 8 is 24.

In general:
To find the lowest common multiple (LCM) of two or more numbers, list the multiples of the larger number and stop when you find a multiple of the other number.  This is the LCM.


Example 3

Find the lowest common multiple of 6 and 9.
Solution:
List the multiples of 9 and stop when you find a multiple of 6.
Multiples of 9 are 9, 18, …
Multiples of 6 are 6, 12, 18, …
The LCM of 6 and 9 is 18.


Example 4

Find the lowest common multiple of 5, 6 and 8.
Solution:
List the multiples of 8 and stop when you find a multiple of both 5 and 6.
Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, …
Stop at 120 as it is a multiple of both 5 and 6.
So, the LCM of 5, 6 and 8 is 120.

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