Question : The LCM of 1.2 and 2.7 is:
Option 1: 5.4
Option 2: 10.8
Option 3: 1.08
Option 4: 32.4
Correct Answer: 10.8
Solution :
LCM of 1.2 and 2.7 = LCM of $\frac{12}{10}$ and $\frac{27}{10}$
We know LCM of fractions = $\frac{\text{LCM of numerators}}{\text{HCF of denominators}}$
Now, HCF of denominators = HCF of 10 and 10 = 10
And LCM of numerators = LCM of 12 and 27 = LCM of 2
2
× 3 and 3
3
= 108
So, LCM of 1.2 and 2.7 = $\frac{108}{10}$ = 10.8
Hence, the correct answer is 10.8.
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