LCM( 176, 160 ) = 1760
Step 1: Write down factorisation of each number:
176 = 2 · 2 · 2 · 2 · 11
160 = 2 · 2 · 2 · 2 · 2 · 5
Step 2 : Match primes vertically:
176 | = | 2 | · | 2 | · | 2 | · | 2 | · | 11 | ||||
160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
176 | = | 2 | · | 2 | · | 2 | · | 2 | · | 11 | ||||||
160 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | ||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 5 | · | 11 | = | 1760 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.