Question
Find Least Common Multiple of 38, 95, 152 and 133 using prime factorisation method.
Answer
LCM( 38, 95, 152, 133 ) = 5320
Explanation
Step 1: Write down factorisation of each number:
38 = 2 · 19
95 = 5 · 19
152 = 2 · 2 · 2 · 19
133 = 7 · 19
Step 2 : Match primes vertically:
| 38 | = | 2 | · | 19 | ||||||||
| 95 | = | 5 | · | 19 | ||||||||
| 152 | = | 2 | · | 2 | · | 2 | · | 19 | ||||
| 133 | = | 7 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 38 | = | 2 | · | 19 | ||||||||||
| 95 | = | 5 | · | 19 | ||||||||||
| 152 | = | 2 | · | 2 | · | 2 | · | 19 | ||||||
| 133 | = | 7 | · | 19 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 19 | = | 5320 |
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