LCM( 25, 85, 100 ) = 1700
Step 1: Write down factorisation of each number:
25 = 5 · 5
85 = 5 · 17
100 = 2 · 2 · 5 · 5
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||||
85 | = | 5 | · | 17 | ||||||
100 | = | 2 | · | 2 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||||
85 | = | 5 | · | 17 | ||||||||
100 | = | 2 | · | 2 | · | 5 | · | 5 | ||||
LCM | = | 2 | · | 2 | · | 5 | · | 5 | · | 17 | = | 1700 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.