a) 10

b) 12

c) 16

d) 20

correct answer is: b) 12

#### Explanation

The HCF of 24,36,48 and 72 is :12 *And,* the LCM of 24,36,48 and 72 is :

2\times2\times2\times3\times3\times2=144. *Now,* if we divide the LCM by the HCF then we get =\left(144\div12\right)

\rightarrow 12.

\therefore 12 times the HCF of 24,36,48 and 72 contained their LCM.**Ans:** 12 times.

###### These precise math questions can also be expressed as:

**In how many instances does the highest common factor (HCF) of 24, 36, 48, and 72 fit into their least common multiple (LCM)?****How many multiples of the highest common factor (HCF) of 24, 36, 48, and 72 are contained within their least common multiple (LCM)?****How many times does the greatest common divisor (GCD) of 24, 36, 48, and 72 go into their least common multiple (LCM)?****Within their least common multiple (LCM), how many times is the highest common factor (HCF) of 24, 36, 48, and 72 present?**