Find Least Common Multiple of 90 and 130 using prime factorisation method.
Answer
LCM( 90, 130 ) = 1170
Explanation
Step 1: Write down factorisation of each number:
90 = 2 · 3 · 3 · 5
130 = 2 · 5 · 13
Step 2 : Match primes vertically:
| 90 | = | 2 | · | 3 | · | 3 | · | 5 | ||
| 130 | = | 2 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 90 | = | 2 | · | 3 | · | 3 | · | 5 | ||||
| 130 | = | 2 | · | 5 | · | 13 | ||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 5 | · | 13 | = | 1170 |
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