LCM( 25, 125, 625 ) = 625
Step 1: Write down factorisation of each number:
25 = 5 · 5
125 = 5 · 5 · 5
625 = 5 · 5 · 5 · 5
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||
125 | = | 5 | · | 5 | · | 5 | ||
625 | = | 5 | · | 5 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||
125 | = | 5 | · | 5 | · | 5 | ||||
625 | = | 5 | · | 5 | · | 5 | · | 5 | ||
LCM | = | 5 | · | 5 | · | 5 | · | 5 | = | 625 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.