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Find Least Common Multiple of 264 and 768 using prime factorisation method.

Answer

LCM( 264, 768 ) = 8448

Explanation

Step 1: Write down factorisation of each number:

264 = 2 · 2 · 2 · 3 · 11

768 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3

Step 2 : Match primes vertically:

264=2·2·2·          3·11
768=2·2·2·2·2·2·2·2·3  

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

264=2·2·2·          3·11  
768=2·2·2·2·2·2·2·2·3    
LCM=2·2·2·2·2·2·2·2·3·11=8448

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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