Find Least Common Multiple of 15, 140 and 32 using prime factorisation method.
Answer
LCM( 15, 140, 32 ) = 3360
Explanation
Step 1: Write down factorisation of each number:
15 = 3 · 5
140 = 2 · 2 · 5 · 7
32 = 2 · 2 · 2 · 2 · 2
Step 2 : Match primes vertically:
| 15 | = | 3 | · | 5 | ||||||||||||
| 140 | = | 2 | · | 2 | · | 5 | · | 7 | ||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 15 | = | 3 | · | 5 | ||||||||||||||
| 140 | = | 2 | · | 2 | · | 5 | · | 7 | ||||||||||
| 32 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | = | 3360 |
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