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प्रश्न
Find the least number that is divisible by the first ten natural numbers
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उत्तर
The least number that is divisible by the first ten natural numbers is 2520.
Hint:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The least multiple of 2 & 4 is 8
The least multiple of 3 is 9
The least multiple of 7 is 7
The least multiple of 5 is 5
∴ 5 × 7 × 9 × 8 = 2520.
L.C.M is 8 × 9 × 7 × 5
= 40 × 63
= 2520
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Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
