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Question

Find Least Common Multiple of 1, 76, 1, 1 and 96 using prime factorisation method.

Answer

LCM( 1, 76, 1, 1, 96 ) = 1824

Explanation

Step 1: Write down factorisation of each number:

1 = 1

76 = 2 · 2 · 19

1 = 1

1 = 1

96 = 2 · 2 · 2 · 2 · 2 · 3

Step 2 : Match primes vertically:

1=1              
76=  2·2·        19
96=  2·2·2·2·2·3  

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

1=1                
76=  2·2·        19  
96=  2·2·2·2·2·3    
LCM=1·2·2·2·2·2·3·19=1824
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