Question
Find Least Common Multiple of 6, 9, 16, 8, 9 and 4 using prime factorisation method.
Answer
LCM( 6, 9, 16, 8, 9, 4 ) = 144
Explanation
Step 1: Write down factorisation of each number:
6 = 2 · 3
9 = 3 · 3
16 = 2 · 2 · 2 · 2
8 = 2 · 2 · 2
9 = 3 · 3
4 = 2 · 2
Step 2 : Match primes vertically:
| 6 | = | 2 | · | 3 | ||||||||
| 9 | = | 3 | · | 3 | ||||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 6 | = | 2 | · | 3 | ||||||||||
| 9 | = | 3 | · | 3 | ||||||||||
| 16 | = | 2 | · | 2 | · | 2 | · | 2 | ||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||||
| 4 | = | 2 | · | 2 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | = | 144 |
This page was created using
LCM Calculator