LCM( 920, 180 ) = 8280
Step 1: Write down factorisation of each number:
920 = 2 · 2 · 2 · 5 · 23
180 = 2 · 2 · 3 · 3 · 5
Step 2 : Match primes vertically:
920 | = | 2 | · | 2 | · | 2 | · | 5 | · | 23 | ||||
180 | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
920 | = | 2 | · | 2 | · | 2 | · | 5 | · | 23 | ||||||
180 | = | 2 | · | 2 | · | 3 | · | 3 | · | 5 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 23 | = | 8280 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.