Find Least Common Multiple of 22, 35 and 8 using prime factorisation method.
Answer
LCM( 22, 35, 8 ) = 3080
Explanation
Step 1: Write down factorisation of each number:
22 = 2 · 11
35 = 5 · 7
8 = 2 · 2 · 2
Step 2 : Match primes vertically:
| 22 | = | 2 | · | 11 | ||||||||
| 35 | = | 5 | · | 7 | ||||||||
| 8 | = | 2 | · | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 22 | = | 2 | · | 11 | ||||||||||
| 35 | = | 5 | · | 7 | ||||||||||
| 8 | = | 2 | · | 2 | · | 2 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 11 | = | 3080 |
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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