The ratio of two numbers is 13: 15 and their L.C.M. is 39780. The numbers are · ABC26GN0493

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: P.C.S. 2009

The ratio of two numbers is 13: 15 and their L.C.M. is 39780. The numbers are

(a)884, 1020

(b)884, 1040

(c)670, 1340

(d)2652, 3060

Answer

Answer (as printed): D

Explanation

Let the numbers be $13 x$ and $15 x$. Then, their L.C.M. $=195 x$. So, $195 x=39780$ or $x=204$. $\therefore \quad$ The numbers are 2652 and 3060.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for H.C.F. and L.C.M. of Numbers