Question
The LCM of the numbers 1.3, 7.6 and 0.13 is:
This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
98.8
Finding LCM of Decimal Numbers
To find the Least Common Multiple (LCM) of decimal numbers 1.3, 7.6, and 0.13, we can convert them into integers first.
- Convert the decimals to integers by multiplying by a suitable power of 10. In this case, multiplying by 100 will clear all decimals:
- \(1.3 \times 100 = 130\)
- \(7.6 \times 100 = 760\)
- \(0.13 \times 100 = 13\)
- Find the LCM of these integers: 130, 760, and 13.
- Find the prime factorization of each number:
- \(130 = 13 \times 10 = 2 \times 5 \times 13\)
- \(760 = 76 \times 10 = (2^2 \times 19) \times (2 \times 5) = 2^3 \times 5 \times 19\)
- \(13 = 13\)
- The LCM is the product of the highest powers of all prime factors involved: \( \text{LCM}(130, 760, 13) = 2^3 \times 5^1 \times 13^1 \times 19^1 \) \( \text{LCM} = 8 \times 5 \times 13 \times 19 \) \( \text{LCM} = 40 \times 247 \) \( \text{LCM} = 9880 \)
- Find the prime factorization of each number:
- Convert the LCM back to a decimal by dividing by the same number (100) we used to convert the original numbers to integers: \( \text{LCM of decimals} = \frac{9880}{100} = 98.8 \)
The LCM of 1.3, 7.6, and 0.13 is 98.8.
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