Question
Find Least Common Multiple of 1101 and 1000 using prime factorisation method.
Answer
LCM( 1101, 1000 ) = 1101000
Explanation
Step 1: Write down factorisation of each number:
1101 = 3 · 367
1000 = 2 · 2 · 2 · 5 · 5 · 5
Step 2 : Match primes vertically:
| 1101 | = | 3 | · | 367 | ||||||||||||
| 1000 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1101 | = | 3 | · | 367 | ||||||||||||||
| 1000 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | · | 5 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | · | 5 | · | 367 | = | 1101000 |
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