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Question

Find Least Common Multiple of 116, 80, 104, 122 and 140 using prime factorisation method.

Answer

LCM( 116, 80, 104, 122, 140 ) = 12878320

Explanation

Step 1: Write down factorisation of each number:

116 = 2 · 2 · 29

80 = 2 · 2 · 2 · 2 · 5

104 = 2 · 2 · 2 · 13

122 = 2 · 61

140 = 2 · 2 · 5 · 7

Step 2 : Match primes vertically:

116=2·2·          29  
80=2·2·2·2·5        
104=2·2·2·      13    
122=2·              61
140=2·2·    5·7      

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

116=2·2·          29    
80=2·2·2·2·5          
104=2·2·2·      13      
122=2·              61  
140=2·2·    5·7        
LCM=2·2·2·2·5·7·13·29·61=12878320
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