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
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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 22 × 3 and 33 = 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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Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
Question : What is the value of $\frac{(1.2)^{3} + (0.8)^{3} + (0.7)^{3} – 2.016}{(1.35)[(1.2)^{2} + (0.8)^{2} + (0.7)^{2} – 0.96 – 0.84 – 0.56]}?$
Option 1: $\frac{1}{4}$
Option 2: $\frac{1}{2}$
Option 3: $1$
Option 4: $2$
Question : The LCM of $\frac{3}{8}, \frac{5}{16},$ and $\frac{7}{2}$ is:
Option 1: $101 \frac{1}{2}$
Option 2: $52 \frac{1}{2}$
Option 3: $28 \frac{1}{2}$
Option 4: $25 \frac{1}{4}$
Question : What is the LCM of 120 and 450?
Option 1: 2400
Option 2: 1800
Option 3: 3600
Option 4: 4800
Question : The LCM of 96, 136, and 504 is:
Option 1: 34272
Option 2: 36548
Option 3: 25872
Option 4: 28564
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