LCM( 3120, 48 ) = 3120
Step 1: Write down factorisation of each number:
3120 = 2 · 2 · 2 · 2 · 3 · 5 · 13
48 = 2 · 2 · 2 · 2 · 3
Step 2 : Match primes vertically:
3120 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 |
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3120 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 | ||
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 | = | 3120 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.