Question
Find Least Common Multiple of 245 and 148 using prime factorisation method.
Answer
LCM( 245, 148 ) = 36260
Explanation
Step 1: Write down factorisation of each number:
245 = 5 · 7 · 7
148 = 2 · 2 · 37
Step 2 : Match primes vertically:
| 245 | = | 5 | · | 7 | · | 7 | ||||||
| 148 | = | 2 | · | 2 | · | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 245 | = | 5 | · | 7 | · | 7 | ||||||||
| 148 | = | 2 | · | 2 | · | 37 | ||||||||
| LCM | = | 2 | · | 2 | · | 5 | · | 7 | · | 7 | · | 37 | = | 36260 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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