LCM( 44, 120, 132 ) = 1320
Step 1: Write down factorisation of each number:
44 = 2 · 2 · 11
120 = 2 · 2 · 2 · 3 · 5
132 = 2 · 2 · 3 · 11
Step 2 : Match primes vertically:
44 | = | 2 | · | 2 | · | 11 | ||||||
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||
132 | = | 2 | · | 2 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
44 | = | 2 | · | 2 | · | 11 | ||||||||
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||
132 | = | 2 | · | 2 | · | 3 | · | 11 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 11 | = | 1320 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.