Question : What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24, and 36?
Option 1: 3 : 1
Option 2: 4 : 1
Option 3: 6 : 1
Option 4: 2 : 1
Correct Answer: 6 : 1
Solution :
Factors of 12 = 2
2
× 3
1
Factors of 24 = 2
3
×3
1
Factors of 36 = 2
2
× 3
2
LCM of (12, 24, 36) = 2
3
× 3
2
= 72
HCF of (12, 24, 36) = 2
2
× 3
1
= 12
$\therefore$ Required ratio = $\frac{72}{12}=\frac{6}{1}$
Hence, the correct answer is 6 : 1.
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