Question
Find Least Common Multiple of 62, 11, 44 and 43 using prime factorisation method.
Answer
LCM( 62, 11, 44, 43 ) = 58652
Explanation
Step 1: Write down factorisation of each number:
62 = 2 · 31
11 = 11
44 = 2 · 2 · 11
43 = 43
Step 2 : Match primes vertically:
| 62 | = | 2 | · | 31 | ||||||
| 11 | = | 11 | ||||||||
| 44 | = | 2 | · | 2 | · | 11 | ||||
| 43 | = | 43 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 62 | = | 2 | · | 31 | ||||||||
| 11 | = | 11 | ||||||||||
| 44 | = | 2 | · | 2 | · | 11 | ||||||
| 43 | = | 43 | ||||||||||
| LCM | = | 2 | · | 2 | · | 11 | · | 31 | · | 43 | = | 58652 |
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