Find Least Common Multiple of 246 and 656 using prime factorisation method.
Answer
LCM( 246, 656 ) = 1968
Explanation
Step 1: Write down factorisation of each number:
246 = 2 · 3 · 41
656 = 2 · 2 · 2 · 2 · 41
Step 2 : Match primes vertically:
| 246 | = | 2 | · | 3 | · | 41 | ||||||
| 656 | = | 2 | · | 2 | · | 2 | · | 2 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 246 | = | 2 | · | 3 | · | 41 | ||||||||
| 656 | = | 2 | · | 2 | · | 2 | · | 2 | · | 41 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 41 | = | 1968 |
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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