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?