LCM( 25, 30, 27 ) = 1350
Step 1: Write down factorisation of each number:
25 = 5 · 5
30 = 2 · 3 · 5
27 = 3 · 3 · 3
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||||||
30 | = | 2 | · | 3 | · | 5 | ||||||
27 | = | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||||||
30 | = | 2 | · | 3 | · | 5 | ||||||||
27 | = | 3 | · | 3 | · | 3 | ||||||||
LCM | = | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 5 | = | 1350 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.