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Question
For the below pair of numbers, verify that their product = (HCF × LCM).
87, 145
Solution
87 and 145
We have:
87 = 3 × 29
145 = 5 × 29
HCF = 29
LCM = 29 × 15 × 1 = 435
Now, HCF × LCM = 29 × 435 = 12615
Product of the two numbers = 87 × 145 = 12615
∴ HCF × LCM = Product of the two numbers
Verified.
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