Question

product of two consecutive odd numbers is 575 find lcm

Answer 1

Easy one.
Keep smiling

Answer 2

Solution :-

Let the 1st and 2nd odd numbers be (x) and (x + 2) respectively.

Now, according to the question.

⇒ (x) × (x + 2) = 575

⇒ x² + 2x = 575

⇒ x² + 2x - 575 = 0

⇒ x² + 25x - 23x - 575 = 0

⇒ x(x + 25) - 23(x + 25) = 0

⇒ (x - 23) (x + 25) = 0

⇒ So, our answers are (- 23 and - 25) and (23 and 25)

(- 23 × - 25) = 575

(23 × 25) = 575

LCM of 23 and 25 is 575 because 23 is a prime number. So, to find the LCM of 23 and 25, we have to multiply 23 and 25.