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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
Solution
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
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