LCM( 25, 57, 95 ) = 1425
Step 1: Write down factorisation of each number:
25 = 5 · 5
57 = 3 · 19
95 = 5 · 19
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||
57 | = | 3 | · | 19 | ||||
95 | = | 5 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||
57 | = | 3 | · | 19 | ||||||
95 | = | 5 | · | 19 | ||||||
LCM | = | 3 | · | 5 | · | 5 | · | 19 | = | 1425 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.