Find Least Common Multiple of 6, 30, 15 and 60 using prime factorisation method.
Answer
LCM( 6, 30, 15, 60 ) = 60
Explanation
Step 1: Write down factorisation of each number:
6 = 2 · 3
30 = 2 · 3 · 5
15 = 3 · 5
60 = 2 · 2 · 3 · 5
Step 2 : Match primes vertically:
| 6 | = | 2 | · | 3 | ||||
| 30 | = | 2 | · | 3 | · | 5 | ||
| 15 | = | 3 | · | 5 | ||||
| 60 | = | 2 | · | 2 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 6 | = | 2 | · | 3 | ||||||
| 30 | = | 2 | · | 3 | · | 5 | ||||
| 15 | = | 3 | · | 5 | ||||||
| 60 | = | 2 | · | 2 | · | 3 | · | 5 | ||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | = | 60 |
This page was created using
LCM Calculator