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Find Least Common Multiple of 64 and 96 using prime factorisation method.

Answer

LCM( 64, 96 ) = 192

Explanation

Step 1: Write down factorisation of each number:

64 = 2 · 2 · 2 · 2 · 2 · 2

96 = 2 · 2 · 2 · 2 · 2 · 3

Step 2 : Match primes vertically:

64=2·2·2·2·2·2  
96=2·2·2·2·2·  3

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

64=2·2·2·2·2·2    
96=2·2·2·2·2·  3  
LCM=2·2·2·2·2·2·3=192

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.

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