LCM( 312, 112 ) = 4368
Step 1: Write down factorisation of each number:
312 = 2 · 2 · 2 · 3 · 13
112 = 2 · 2 · 2 · 2 · 7
Step 2 : Match primes vertically:
312 | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | ||||
112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
312 | = | 2 | · | 2 | · | 2 | · | 3 | · | 13 | ||||||
112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 7 | · | 13 | = | 4368 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.