Question
Find Least Common Multiple of 12, 11, 8 and 4 using prime factorisation method.
Answer
LCM( 12, 11, 8, 4 ) = 264
Explanation
Step 1: Write down factorisation of each number:
12 = 2 · 2 · 3
11 = 11
8 = 2 · 2 · 2
4 = 2 · 2
Step 2 : Match primes vertically:
| 12 | = | 2 | · | 2 | · | 3 | ||||
| 11 | = | 11 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||
| 4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 12 | = | 2 | · | 2 | · | 3 | ||||||
| 11 | = | 11 | ||||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||
| 4 | = | 2 | · | 2 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 11 | = | 264 |
This page was created using
LCM Calculator