Find Least Common Multiple of 6, 9, 27 and 36 using prime factorisation method.
Answer
LCM( 6, 9, 27, 36 ) = 108
Explanation
Step 1: Write down factorisation of each number:
6 = 2 · 3
9 = 3 · 3
27 = 3 · 3 · 3
36 = 2 · 2 · 3 · 3
Step 2 : Match primes vertically:
| 6 | = | 2 | · | 3 | ||||||
| 9 | = | 3 | · | 3 | ||||||
| 27 | = | 3 | · | 3 | · | 3 | ||||
| 36 | = | 2 | · | 2 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 6 | = | 2 | · | 3 | ||||||||
| 9 | = | 3 | · | 3 | ||||||||
| 27 | = | 3 | · | 3 | · | 3 | ||||||
| 36 | = | 2 | · | 2 | · | 3 | · | 3 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | = | 108 |
This page was created using
LCM Calculator