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Question
Find the LCM:
24, 40, 80, 120
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Solution
| 2 | 24 |
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
| 2 | 80 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
| 2 | 120 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 | 5 |
| 1 |
24 = 2 × 2 × 2 × 3
40 = 2 × 2 × 2 × 5
80 = 2 × 2 × 2 × 2 × 5
120 = 2 × 2 × 2 × 3 × 5
∴ LCM = 2 × 2 × 2 × 2 × 3 × 5
= 240
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What do you observe in the results obtained?
The least common multiple of two or more numbers is defined as:
