LCM( 440, 550 ) = 2200
Step 1: Write down factorisation of each number:
440 = 2 · 2 · 2 · 5 · 11
550 = 2 · 5 · 5 · 11
Step 2 : Match primes vertically:
440 | = | 2 | · | 2 | · | 2 | · | 5 | · | 11 | ||
550 | = | 2 | · | 5 | · | 5 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
440 | = | 2 | · | 2 | · | 2 | · | 5 | · | 11 | ||||
550 | = | 2 | · | 5 | · | 5 | · | 11 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | · | 11 | = | 2200 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.