Find Least Common Multiple of 25, 50, 55 and 110 using prime factorisation method.
Answer
LCM( 25, 50, 55, 110 ) = 550
Explanation
Step 1: Write down factorisation of each number:
25 = 5 · 5
50 = 2 · 5 · 5
55 = 5 · 11
110 = 2 · 5 · 11
Step 2 : Match primes vertically:
| 25 | = | 5 | · | 5 | ||||
| 50 | = | 2 | · | 5 | · | 5 | ||
| 55 | = | 5 | · | 11 | ||||
| 110 | = | 2 | · | 5 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 25 | = | 5 | · | 5 | ||||||
| 50 | = | 2 | · | 5 | · | 5 | ||||
| 55 | = | 5 | · | 11 | ||||||
| 110 | = | 2 | · | 5 | · | 11 | ||||
| LCM | = | 2 | · | 5 | · | 5 | · | 11 | = | 550 |
This page was created using
LCM Calculator