Question
Find Least Common Multiple of 55, 1, 35, 45, 10 and 1 using prime factorisation method.
Answer
LCM( 55, 1, 35, 45, 10, 1 ) = 6930
Explanation
Step 1: Write down factorisation of each number:
55 = 5 · 11
1 = 1
35 = 5 · 7
45 = 3 · 3 · 5
10 = 2 · 5
1 = 1
Step 2 : Match primes vertically:
| 55 | = | 5 | · | 11 | ||||||||||
| 1 | = | 1 | ||||||||||||
| 35 | = | 5 | · | 7 | ||||||||||
| 45 | = | 3 | · | 3 | · | 5 | ||||||||
| 10 | = | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 55 | = | 5 | · | 11 | ||||||||||||
| 1 | = | 1 | ||||||||||||||
| 35 | = | 5 | · | 7 | ||||||||||||
| 45 | = | 3 | · | 3 | · | 5 | ||||||||||
| 10 | = | 2 | · | 5 | ||||||||||||
| LCM | = | 1 | · | 2 | · | 3 | · | 3 | · | 5 | · | 7 | · | 11 | = | 6930 |
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