Question
Find Least Common Multiple of 90, 2, 3, 150, 3, 2, 235, 2 and 3 using prime factorisation method.
Answer
LCM( 90, 2, 3, 150, 3, 2, 235, 2, 3 ) = 21150
Explanation
Step 1: Write down factorisation of each number:
90 = 2 · 3 · 3 · 5
2 = 2
3 = 3
150 = 2 · 3 · 5 · 5
3 = 3
2 = 2
235 = 5 · 47
2 = 2
3 = 3
Step 2 : Match primes vertically:
| 90 | = | 2 | · | 3 | · | 3 | · | 5 | ||||
| 2 | = | 2 | ||||||||||
| 3 | = | 3 | ||||||||||
| 150 | = | 2 | · | 3 | · | 5 | · | 5 | ||||
| 235 | = | 5 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 90 | = | 2 | · | 3 | · | 3 | · | 5 | ||||||
| 2 | = | 2 | ||||||||||||
| 3 | = | 3 | ||||||||||||
| 150 | = | 2 | · | 3 | · | 5 | · | 5 | ||||||
| 235 | = | 5 | · | 47 | ||||||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 5 | · | 5 | · | 47 | = | 21150 |
This page was created using
LCM Calculator