Question
Find Least Common Multiple of 84, 92, 11 and 5 using prime factorisation method.
Answer
LCM( 84, 92, 11, 5 ) = 106260
Explanation
Step 1: Write down factorisation of each number:
84 = 2 · 2 · 3 · 7
92 = 2 · 2 · 23
11 = 11
5 = 5
Step 2 : Match primes vertically:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||||
| 92 | = | 2 | · | 2 | · | 23 | ||||||||
| 11 | = | 11 | ||||||||||||
| 5 | = | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||||||
| 92 | = | 2 | · | 2 | · | 23 | ||||||||||
| 11 | = | 11 | ||||||||||||||
| 5 | = | 5 | ||||||||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 7 | · | 11 | · | 23 | = | 106260 |
This page was created using
LCM Calculator