Question

Assertion: If the HCF of 510 and 92 is 2, then the LCM of 510 and 92 is 32460.

Reason: As HCF (a, b) × LCM (a, b) = a × b

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

Assertion (A) is false but Reason (R) is true.

Explanation:

2	92
2	46
3	23
	1

 

2	510
2	255
3	51
17	17
	1

92 = 2 × 2 × 23

510 = 2 × 3 × 5 × 17

HCF (92, 510) = 2

LCM (92, 510) = 2 × 2 × 3 × 5 × 17 × 23

= 60 × 17 × 23

= 1020 × 23

= 23460