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Question
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
15, 60
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Solution
| 3 | 15 |
| 5 | 5 |
| 1 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 | 5 |
| 1 |
15 = 3 × 5
60 = 2 × 2 × 3 × 5
∴ HCF of 15 and 60 = 3 × 5
= 15
LCM of 15 and 60 = 3 × 5 × 2 × 2
= 60
Product of two numbers = 15 × 60
= 900
Product of HCF and LCM = 15 × 60
= 900
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