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Question
Find the LCM of the following numbers in which one number is the factor of the other.
- 5, 20
- 6, 18
- 12, 48
- 9, 45
What do you observe in the results obtained?
Solution
(a)
| 2 | 5, 20 |
| 2 | 5, 10 |
| 5 | 5, 5 |
| 1, 1 |
LCM = 2 × 2 × 5 = 20
(b)
| 2 | 6, 18 |
| 3 | 3, 9 |
| 3 | 1, 3 |
| 1, 1 |
LCM = 2 × 3 × 3 = 18
(c)
| 2 | 12, 48 |
| 2 | 6, 24 |
| 2 | 3, 12 |
| 2 | 3, 6 |
| 3 | 3, 3 |
| 1, 1 |
LCM = 2 × 2 × 2 × 2 × 3 = 48
(d)
| 3 | 9, 45 |
| 3 | 3, 15 |
| 5 | 1, 5 |
| 1, 1 |
LCM = 3 × 3 × 5 = 45
Yes, it can be observed that in each case, the LCM of the given numbers is the larger number. When one number is a factor of the other number, their LCM will be the larger number.
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