Question:
The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.
Solution:
GIVEN: LCM and HCF of two numbers are 180 and 6 respectively. If one number is 30
TO FIND: Other number
We know that,
L.C.M $\times$ H.C.F $=$ First Number $\times$ Second Number
$180 \times 6=30 \times$ Second Number
Second Number $=\frac{180 \times 6}{30}$
Second Number $=36$