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Question

Find Least Common Multiple of 24, 4, 6, 16, 8, 7 and 2 using prime factorisation method.

Answer

LCM( 24, 4, 6, 16, 8, 7, 2 ) = 336

Explanation

Step 1: Write down factorisation of each number:

24 = 2 · 2 · 2 · 3

4 = 2 · 2

6 = 2 · 3

16 = 2 · 2 · 2 · 2

8 = 2 · 2 · 2

7 = 7

2 = 2

Step 2 : Match primes vertically:

24=2·2·2·  3  
4=2·2        
6=2·      3  
16=2·2·2·2    
8=2·2·2      
7=          7
2=2          

Step 3 : Bring down numbers in each column and multiply to get LCM:

24=2·2·2·  3    
4=2·2          
6=2·      3    
16=2·2·2·2      
8=2·2·2        
7=          7  
2=2            
LCM=2·2·2·2·3·7=336
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