LCM( 240, 2450 ) = 58800
Step 1: Write down factorisation of each number:
240 = 2 · 2 · 2 · 2 · 3 · 5
2450 = 2 · 5 · 5 · 7 · 7
Step 2 : Match primes vertically:
240 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||||
2450 | = | 2 | · | 5 | · | 5 | · | 7 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
240 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||||||
2450 | = | 2 | · | 5 | · | 5 | · | 7 | · | 7 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 7 | · | 7 | = | 58800 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.