LCM( 135, 315 ) = 945
Step 1: Write down factorisation of each number:
135 = 3 · 3 · 3 · 5
315 = 3 · 3 · 5 · 7
Step 2 : Match primes vertically:
135 | = | 3 | · | 3 | · | 3 | · | 5 | ||
315 | = | 3 | · | 3 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
135 | = | 3 | · | 3 | · | 3 | · | 5 | ||||
315 | = | 3 | · | 3 | · | 5 | · | 7 | ||||
LCM | = | 3 | · | 3 | · | 3 | · | 5 | · | 7 | = | 945 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.