LCM( 25, 10, 35 ) = 350
Step 1: Write down factorisation of each number:
25 = 5 · 5
10 = 2 · 5
35 = 5 · 7
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||
10 | = | 2 | · | 5 | ||||
35 | = | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||
10 | = | 2 | · | 5 | ||||||
35 | = | 5 | · | 7 | ||||||
LCM | = | 2 | · | 5 | · | 5 | · | 7 | = | 350 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.