LCM( 312, 1716 ) = 3432
Step 1: Write down factorisation of each number:
312 = 2 · 2 · 2 · 3 · 13
1716 = 2 · 2 · 3 · 11 · 13
Step 2 : Match primes vertically:
312 | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | ||
1716 | = | 2 | · | 2 | · | 3 | · | 11 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
312 | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | ||||
1716 | = | 2 | · | 2 | · | 3 | · | 11 | · | 13 | ||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 11 | · | 13 | = | 3432 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.