LCM( 225, 475 ) = 4275
Step 1: Write down factorisation of each number:
225 = 3 · 3 · 5 · 5
475 = 5 · 5 · 19
Step 2 : Match primes vertically:
225 | = | 3 | · | 3 | · | 5 | · | 5 | ||
475 | = | 5 | · | 5 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
225 | = | 3 | · | 3 | · | 5 | · | 5 | ||||
475 | = | 5 | · | 5 | · | 19 | ||||||
LCM | = | 3 | · | 3 | · | 5 | · | 5 | · | 19 | = | 4275 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.