LCM( 78, 102 ) = 1326
Step 1: Write down factorisation of each number:
78 = 2 · 3 · 13
102 = 2 · 3 · 17
Step 2 : Match primes vertically:
78 | = | 2 | · | 3 | · | 13 | ||
102 | = | 2 | · | 3 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
78 | = | 2 | · | 3 | · | 13 | ||||
102 | = | 2 | · | 3 | · | 17 | ||||
LCM | = | 2 | · | 3 | · | 13 | · | 17 | = | 1326 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.