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Question

Find Least Common Multiple of 56, 32, 16 and 27 using prime factorisation method.

Answer

LCM( 56, 32, 16, 27 ) = 6048

Explanation

Step 1: Write down factorisation of each number:

56 = 2 · 2 · 2 · 7

32 = 2 · 2 · 2 · 2 · 2

16 = 2 · 2 · 2 · 2

27 = 3 · 3 · 3

Step 2 : Match primes vertically:

56=2·2·2·          7
32=2·2·2·2·2        
16=2·2·2·2          
27=          3·3·3  

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

56=2·2·2·          7  
32=2·2·2·2·2          
16=2·2·2·2            
27=          3·3·3    
LCM=2·2·2·2·2·3·3·3·7=6048
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