The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, the other number is
(a) 290
(b) 435
(c) 5
(d) none of these

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Solution

(b) 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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Similar questions

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

The product of two numbers is $2160$ and their HCF is $12$ . The LCM of these numbers is
(a) $12$
(b) $25920$
(c) $180$
(d) none of these

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