Find Least Common Multiple of 40, 55 and 66 using prime factorisation method.
Answer
LCM( 40, 55, 66 ) = 1320
Explanation
Step 1: Write down factorisation of each number:
40 = 2 · 2 · 2 · 5
55 = 5 · 11
66 = 2 · 3 · 11
Step 2 : Match primes vertically:
| 40 | = | 2 | · | 2 | · | 2 | · | 5 | ||||
| 55 | = | 5 | · | 11 | ||||||||
| 66 | = | 2 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 40 | = | 2 | · | 2 | · | 2 | · | 5 | ||||||
| 55 | = | 5 | · | 11 | ||||||||||
| 66 | = | 2 | · | 3 | · | 11 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 11 | = | 1320 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator