Find Least Common Multiple of 84, 27 and 35 using prime factorisation method.
Answer
LCM( 84, 27, 35 ) = 3780
Explanation
Step 1: Write down factorisation of each number:
84 = 2 · 2 · 3 · 7
27 = 3 · 3 · 3
35 = 5 · 7
Step 2 : Match primes vertically:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||||
| 27 | = | 3 | · | 3 | · | 3 | ||||||||
| 35 | = | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||||||
| 27 | = | 3 | · | 3 | · | 3 | ||||||||||
| 35 | = | 5 | · | 7 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 7 | = | 3780 |
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