LCM( 7, 14, 13 ) = 182
Step 1: Write down factorisation of each number:
7 = 7
14 = 2 · 7
13 = 13
Step 2 : Match primes vertically:
7 | = | 7 | ||||
14 | = | 2 | · | 7 | ||
13 | = | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
7 | = | 7 | ||||||
14 | = | 2 | · | 7 | ||||
13 | = | 13 | ||||||
LCM | = | 2 | · | 7 | · | 13 | = | 182 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.