LCM( 126, 154, 176 ) = 11088
Step 1: Write down factorisation of each number:
126 = 2 · 3 · 3 · 7
154 = 2 · 7 · 11
176 = 2 · 2 · 2 · 2 · 11
Step 2 : Match primes vertically:
126 | = | 2 | · | 3 | · | 3 | · | 7 | ||||||||
154 | = | 2 | · | 7 | · | 11 | ||||||||||
176 | = | 2 | · | 2 | · | 2 | · | 2 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
126 | = | 2 | · | 3 | · | 3 | · | 7 | ||||||||||
154 | = | 2 | · | 7 | · | 11 | ||||||||||||
176 | = | 2 | · | 2 | · | 2 | · | 2 | · | 11 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 11 | = | 11088 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.