Find Least Common Multiple of 32, 32 and 75 using prime factorisation method.
Answer
LCM( 32, 32, 75 ) = 2400
Explanation
Step 1: Write down factorisation of each number:
32 = 2 · 2 · 2 · 2 · 2
32 = 2 · 2 · 2 · 2 · 2
75 = 3 · 5 · 5
Step 2 : Match primes vertically:
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||
| 75 | = | 3 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||
| 75 | = | 3 | · | 5 | · | 5 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 5 | = | 2400 |
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