Question:
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
Solution:
GIVEN: LCM and HCF of two numbers are 2175 and 145 respectively. If one number is 725
TO FIND: Other number
We know that,
L.C.M $\times$ H.C.F $=$ First Number $\times$ Second Number
$2175 \times 145=725 \times$ Second Number
Second Number $=\frac{2175 \times 145}{725}$
Second Number $=435$