Question

If the HCF (2520, 6600) = 40 and LCM (2520, 6600) = 252 × k, then the value of k is ______. 

Options

• 1650

• 1600

• 165

• 1625

Answer 1

If the HCF (2520, 6600) = 40 and LCM (2520, 6600) = 252 × k, then the value of k is 1650.

Explanation:

Given

HCF = 40

LCM = 252 × k

We know that

LCM × HCF = product of two number 

⇒ 40 × 252 × k = 2520 × 6600

⇒ `k = (2520 xx 6600)/(40 xx 252)`

∴ k = 1650