Find the LCM of 0.7, 0.35, 1.05.

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 31 Aug, 2024 Shift 2)
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  1. 0.7
  2. 2.1
  3. 0.105
  4. 0.07

Answer (Detailed Solution Below)

Option 2 : 2.1
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UP Police Constable हिंदी (मॉक टेस्ट)
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Detailed Solution

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Given:

Find the LCM of 0.7, 0.35, 1.05

Formula used:

LCM of decimals can be found by converting them to fractions, finding the LCM of the numerators, and then dividing by the HCF of the denominators.

Calculation:

0.7 = 7/10, 0.35 = 35/100 = 7/20, 1.05 = 105/100 = 21/20

LCM of numerators: LCM(7, 7, 21)

⇒ LCM(7, 7, 21) = 21

HCF of denominators: HCF(10, 20, 20)

⇒ HCF(10, 20, 20) = 10

LCM of the fractions:

⇒ LCM = 21/10 = 2.1

∴ The correct answer is option (2).

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