LCM( 1152, 648 ) = 10368
Step 1: Write down factorisation of each number:
1152 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3 · 3
648 = 2 · 2 · 2 · 3 · 3 · 3 · 3
Step 2 : Match primes vertically:
1152 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | ||||
648 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1152 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | ||||||
648 | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 3 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 3 | = | 10368 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.