Grade 8 - Mathematics 5.21 Relation between L.C.M. and G.C.D.

The Product of the numbers = The product of L.C.M. and G.C.D.

Example:
The L.C.M. and G.C.D. of two numbers 144 and 4 respectively. If one of the numbers 36. Find the second number.

Solution:
Let the second number be x.
We know that,
The Product or the numbers = The product of L.C.M. and G.C.D.
36 * x = 144 * 4
x = (144*4)/36
x = 16
Therefore, the second number is 16.

Directions: Solve the following problems. Also write at least five examples of your own.