Find Least Common Multiple of 35 and 120 using prime factorisation method.
Answer
LCM( 35, 120 ) = 840
Explanation
Step 1: Write down factorisation of each number:
35 = 5 · 7
120 = 2 · 2 · 2 · 3 · 5
Step 2 : Match primes vertically:
| 35 | = | 5 | · | 7 | ||||||||
| 120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 35 | = | 5 | · | 7 | ||||||||||
| 120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 7 | = | 840 |
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