Divide the LCM of 96,36 and 60 by their HCF

96 = 2 × 2 × 2 × 2 × 2 × 3 = 2⁶ × 3¹
36 = 2 × 2 × 3 × 3 = 2² × 3²
60 = 2 × 2 × 3 × 5 = 2² × 3¹ × 5¹

The HCF is the product of the lowest powers of common prime factors.
Common prime factors are 2 and 3.
Lowest power of 2 is 2².
Lowest power of 3 is 3¹.
HCF = 2² × 3¹ = 4 × 3 = 12.

The LCM is the product of the highest powers of all prime factors present in any of the numbers.
Prime factors are 2, 3, and 5.
Highest power of 2 is 2⁶.
Highest power of 3 is 3².
Highest power of 5 is 5¹.
LCM = 2⁶ × 3² × 5¹ = 64 × 9 × 5 = 576 × 5 = 2880.

(LCM) / (HCF) = 2880 / 12.

2880 / 12 = 240.

The result is 240.