LCM( 75, 297 ) = 7425
Step 1: Write down factorisation of each number:
75 = 3 · 5 · 5
297 = 3 · 3 · 3 · 11
Step 2 : Match primes vertically:
75 | = | 3 | · | 5 | · | 5 | ||||||
297 | = | 3 | · | 3 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
75 | = | 3 | · | 5 | · | 5 | ||||||||
297 | = | 3 | · | 3 | · | 3 | · | 11 | ||||||
LCM | = | 3 | · | 3 | · | 3 | · | 5 | · | 5 | · | 11 | = | 7425 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.