LCM( 112, 160, 188 ) = 52640
Step 1: Write down factorisation of each number:
112 = 2 · 2 · 2 · 2 · 7
160 = 2 · 2 · 2 · 2 · 2 · 5
188 = 2 · 2 · 47
Step 2 : Match primes vertically:
112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | ||||||
160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | ||||
188 | = | 2 | · | 2 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | ||||||||
160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | ||||||
188 | = | 2 | · | 2 | · | 47 | ||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 47 | = | 52640 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.