Question

The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, the other number is

Options

• 290

• 435

• 5

• none of these

Answer 1

435 
One of the numbers is 725.
H.C.F. = 145
L.C.M. = 2175
We know:
L.C.M. × H.C.F. = Product of the two numbers
∴ Product of the two numbers = 145 × 2175
= 315375
∴ Other number = \[\frac{315375}{725}\]

 = 435