Find Least Common Multiple of 200 and 4 using prime factorisation method.
Answer
LCM( 200, 4 ) = 200
Explanation
Step 1: Write down factorisation of each number:
200 = 2 · 2 · 2 · 5 · 5
4 = 2 · 2
Step 2 : Match primes vertically:
| 200 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 |
| 4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 200 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | ||
| 4 | = | 2 | · | 2 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | = | 200 |
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