MathematicsThe L.C.M. and H.C.F. of two numbers are 180 and 6 respectively. If one of the numbers is 30. Then, the other number is ____.

The L.C.M. and H.C.F. of two numbers are 180 and 6 respectively. If one of the numbers is 30. Then, the other number is ____.

Solution:

The L.C.M. and H.C.F. of two numbers are 180 and 6 respectively. If one of the numbers is 30. Then, the other number is 36.
Given that,
LCM of the number = 180.
HCF of the number = 6.
One of the number = 30.
Let the other number be x.
We know that,
Product of the number = Product of their H.C.F. and L.C.M,