LCM( 306, 1314 ) = 22338
Step 1: Write down factorisation of each number:
306 = 2 · 3 · 3 · 17
1314 = 2 · 3 · 3 · 73
Step 2 : Match primes vertically:
306 | = | 2 | · | 3 | · | 3 | · | 17 | ||
1314 | = | 2 | · | 3 | · | 3 | · | 73 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
306 | = | 2 | · | 3 | · | 3 | · | 17 | ||||
1314 | = | 2 | · | 3 | · | 3 | · | 73 | ||||
LCM | = | 2 | · | 3 | · | 3 | · | 17 | · | 73 | = | 22338 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.