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Find Least Common Multiple of 34, 48, 96 and 112 using prime factorisation method.

Answer

LCM( 34, 48, 96, 112 ) = 11424

Explanation

Step 1: Write down factorisation of each number:

34 = 2 · 17

48 = 2 · 2 · 2 · 2 · 3

96 = 2 · 2 · 2 · 2 · 2 · 3

112 = 2 · 2 · 2 · 2 · 7

Step 2 : Match primes vertically:

34=2·            17
48=2·2·2·2·  3    
96=2·2·2·2·2·3    
112=2·2·2·2·    7  

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

34=2·            17  
48=2·2·2·2·  3      
96=2·2·2·2·2·3      
112=2·2·2·2·    7    
LCM=2·2·2·2·2·3·7·17=11424
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