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Find Least Common Multiple of 80, 96, 125 and 160 using prime factorisation method.

Answer

LCM( 80, 96, 125, 160 ) = 12000

Explanation

Step 1: Write down factorisation of each number:

80 = 2 · 2 · 2 · 2 · 5

96 = 2 · 2 · 2 · 2 · 2 · 3

125 = 5 · 5 · 5

160 = 2 · 2 · 2 · 2 · 2 · 5

Step 2 : Match primes vertically:

80=2·2·2·2·    5    
96=2·2·2·2·2·3      
125=            5·5·5
160=2·2·2·2·2·  5    

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

80=2·2·2·2·    5      
96=2·2·2·2·2·3        
125=            5·5·5  
160=2·2·2·2·2·  5      
LCM=2·2·2·2·2·3·5·5·5=12000
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