LCM( 250, 75, 325 ) = 9750
Step 1: Write down factorisation of each number:
250 = 2 · 5 · 5 · 5
75 = 3 · 5 · 5
325 = 5 · 5 · 13
Step 2 : Match primes vertically:
250 | = | 2 | · | 5 | · | 5 | · | 5 | ||||
75 | = | 3 | · | 5 | · | 5 | ||||||
325 | = | 5 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
250 | = | 2 | · | 5 | · | 5 | · | 5 | ||||||
75 | = | 3 | · | 5 | · | 5 | ||||||||
325 | = | 5 | · | 5 | · | 13 | ||||||||
LCM | = | 2 | · | 3 | · | 5 | · | 5 | · | 5 | · | 13 | = | 9750 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.